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Pythagoras:",[572,1059,1061],{"className":1060},[674],[572,1062,1064,1168],{"className":1063},[575],[572,1065,1067],{"className":1066},[579],[581,1068,1069],{"xmlns":583,"display":683},[585,1070,1071,1165],{},[588,1072,1073,1079,1081,1087,1090,1108,1110,1116,1118,1129,1131,1137,1143,1146,1149,1151,1153,1155,1161],{},[591,1074,1075,1077],{},[689,1076,705],{},[594,1078,702],{},[598,1080,694],{},[591,1082,1083,1085],{},[689,1084,691],{},[594,1086,702],{},[598,1088,1089],{},"−",[591,1091,1092,1106],{},[588,1093,1094,1097,1103],{},[598,1095,1096],{"fence":610},"(",[696,1098,1099,1101],{},[689,1100,691],{},[594,1102,702],{},[598,1104,1105],{"fence":610},")",[594,1107,702],{},[598,1109,694],{},[591,1111,1112,1114],{},[689,1113,691],{},[594,1115,702],{},[598,1117,1089],{},[696,1119,1120,1126],{},[591,1121,1122,1124],{},[689,1123,691],{},[594,1125,702],{},[594,1127,1128],{},"4",[598,1130,694],{},[696,1132,1133,1135],{},[594,1134,711],{},[594,1136,1128],{},[591,1138,1139,1141],{},[689,1140,691],{},[594,1142,702],{},[732,1144],{"width":1145},"1em",[598,1147,1148],{},"⇒",[732,1150],{"width":1145},[689,1152,705],{},[598,1154,694],{},[696,1156,1157,1159],{},[689,1158,691],{},[594,1160,702],{},[707,1162,1163],{},[594,1164,711],{},[602,1166,1167],{"encoding":604},"h^2 = a^2 - \\left(\\frac{a}{2}\\right)^2 = a^2 - \\frac{a^2}{4} = \\frac{3}{4} a^2\n\\quad\\Rightarrow\\quad h = \\frac{a}{2} \\sqrt{3}",[572,1169,1171,1217,1263,1392,1436,1542,1657,1675],{"className":1170,"ariaHidden":610},[609],[572,1172,1174,1178,1208,1211,1214],{"className":1173},[614],[572,1175],{"className":1176,"style":1177},[618],"height:0.8641em;",[572,1179,1181,1184],{"className":1180},[623],[572,1182,705],{"className":1183},[623,728],[572,1185,1187],{"className":1186},[635],[572,1188,1190],{"className":1189},[639],[572,1191,1193],{"className":1192},[643],[572,1194,1196],{"className":1195,"style":1177},[647],[572,1197,1199,1202],{"style":1198},"top:-3.113em;margin-right:0.05em;",[572,1200],{"className":1201,"style":655},[654],[572,1203,1205],{"className":1204},[659,660,661,662],[572,1206,702],{"className":1207},[623,662],[572,1209],{"className":1210,"style":733},[732],[572,1212,694],{"className":1213},[737],[572,1215],{"className":1216,"style":733},[732],[572,1218,1220,1224,1253,1257,1260],{"className":1219},[614],[572,1221],{"className":1222,"style":1223},[618],"height:0.9474em;vertical-align:-0.0833em;",[572,1225,1227,1230],{"className":1226},[623],[572,1228,691],{"className":1229},[623,728],[572,1231,1233],{"className":1232},[635],[572,1234,1236],{"className":1235},[639],[572,1237,1239],{"className":1238},[643],[572,1240,1242],{"className":1241,"style":1177},[647],[572,1243,1244,1247],{"style":1198},[572,1245],{"className":1246,"style":655},[654],[572,1248,1250],{"className":1249},[659,660,661,662],[572,1251,702],{"className":1252},[623,662],[572,1254],{"className":1255,"style":1256},[732],"margin-right:0.2222em;",[572,1258,1089],{"className":1259},[666],[572,1261],{"className":1262,"style":1256},[732],[572,1264,1266,1270,1383,1386,1389],{"className":1265},[614],[572,1267],{"className":1268,"style":1269},[618],"height:2.04em;vertical-align:-0.686em;",[572,1271,1274,1358],{"className":1272},[1273],"minner",[572,1275,1277,1287,1352],{"className":1276},[1273],[572,1278,1282],{"className":1279,"style":1281},[754,1280],"delimcenter","top:0em;",[572,1283,1096],{"className":1284},[1285,1286],"delimsizing","size2",[572,1288,1290,1293,1349],{"className":1289},[623],[572,1291],{"className":1292},[754,755],[572,1294,1296],{"className":1295},[696],[572,1297,1299,1340],{"className":1298},[639,762],[572,1300,1302,1337],{"className":1301},[643],[572,1303,1306,1318,1326],{"className":1304,"style":1305},[647],"height:1.1076em;",[572,1307,1309,1312],{"style":1308},"top:-2.314em;",[572,1310],{"className":1311,"style":776},[654],[572,1313,1315],{"className":1314},[623],[572,1316,702],{"className":1317},[623],[572,1319,1320,1323],{"style":848},[572,1321],{"className":1322,"style":776},[654],[572,1324],{"className":1325,"style":856},[855],[572,1327,1328,1331],{"style":859},[572,1329],{"className":1330,"style":776},[654],[572,1332,1334],{"className":1333},[623],[572,1335,691],{"className":1336},[623,728],[572,1338,836],{"className":1339},[835],[572,1341,1343],{"className":1342},[643],[572,1344,1347],{"className":1345,"style":1346},[647],"height:0.686em;",[572,1348],{},[572,1350],{"className":1351},[887,755],[572,1353,1355],{"className":1354,"style":1281},[887,1280],[572,1356,1105],{"className":1357},[1285,1286],[572,1359,1361],{"className":1360},[635],[572,1362,1364],{"className":1363},[639],[572,1365,1367],{"className":1366},[643],[572,1368,1371],{"className":1369,"style":1370},[647],"height:1.354em;",[572,1372,1374,1377],{"style":1373},"top:-3.6029em;margin-right:0.05em;",[572,1375],{"className":1376,"style":655},[654],[572,1378,1380],{"className":1379},[659,660,661,662],[572,1381,702],{"className":1382},[623,662],[572,1384],{"className":1385,"style":733},[732],[572,1387,694],{"className":1388},[737],[572,1390],{"className":1391,"style":733},[732],[572,1393,1395,1398,1427,1430,1433],{"className":1394},[614],[572,1396],{"className":1397,"style":1223},[618],[572,1399,1401,1404],{"className":1400},[623],[572,1402,691],{"className":1403},[623,728],[572,1405,1407],{"className":1406},[635],[572,1408,1410],{"className":1409},[639],[572,1411,1413],{"className":1412},[643],[572,1414,1416],{"className":1415,"style":1177},[647],[572,1417,1418,1421],{"style":1198},[572,1419],{"className":1420,"style":655},[654],[572,1422,1424],{"className":1423},[659,660,661,662],[572,1425,702],{"className":1426},[623,662],[572,1428],{"className":1429,"style":1256},[732],[572,1431,1089],{"className":1432},[666],[572,1434],{"className":1435,"style":1256},[732],[572,1437,1439,1443,1533,1536,1539],{"className":1438},[614],[572,1440],{"className":1441,"style":1442},[618],"height:2.1771em;vertical-align:-0.686em;",[572,1444,1446,1449,1530],{"className":1445},[623],[572,1447],{"className":1448},[754,755],[572,1450,1452],{"className":1451},[696],[572,1453,1455,1522],{"className":1454},[639,762],[572,1456,1458,1519],{"className":1457},[643],[572,1459,1462,1473,1481],{"className":1460,"style":1461},[647],"height:1.4911em;",[572,1463,1464,1467],{"style":1308},[572,1465],{"className":1466,"style":776},[654],[572,1468,1470],{"className":1469},[623],[572,1471,1128],{"className":1472},[623],[572,1474,1475,1478],{"style":848},[572,1476],{"className":1477,"style":776},[654],[572,1479],{"className":1480,"style":856},[855],[572,1482,1483,1486],{"style":859},[572,1484],{"className":1485,"style":776},[654],[572,1487,1489],{"className":1488},[623],[572,1490,1492,1495],{"className":1491},[623],[572,1493,691],{"className":1494},[623,728],[572,1496,1498],{"className":1497},[635],[572,1499,1501],{"className":1500},[639],[572,1502,1504],{"className":1503},[643],[572,1505,1508],{"className":1506,"style":1507},[647],"height:0.8141em;",[572,1509,1510,1513],{"style":650},[572,1511],{"className":1512,"style":655},[654],[572,1514,1516],{"className":1515},[659,660,661,662],[572,1517,702],{"className":1518},[623,662],[572,1520,836],{"className":1521},[835],[572,1523,1525],{"className":1524},[643],[572,1526,1528],{"className":1527,"style":1346},[647],[572,1529],{},[572,1531],{"className":1532},[887,755],[572,1534],{"className":1535,"style":733},[732],[572,1537,694],{"className":1538},[737],[572,1540],{"className":1541,"style":733},[732],[572,1543,1545,1549,1612,1641,1645,1648,1651,1654],{"className":1544},[614],[572,1546],{"className":1547,"style":1548},[618],"height:2.0074em;vertical-align:-0.686em;",[572,1550,1552,1555,1609],{"className":1551},[623],[572,1553],{"className":1554},[754,755],[572,1556,1558],{"className":1557},[696],[572,1559,1561,1601],{"className":1560},[639,762],[572,1562,1564,1598],{"className":1563},[643],[572,1565,1568,1579,1587],{"className":1566,"style":1567},[647],"height:1.3214em;",[572,1569,1570,1573],{"style":1308},[572,1571],{"className":1572,"style":776},[654],[572,1574,1576],{"className":1575},[623],[572,1577,1128],{"className":1578},[623],[572,1580,1581,1584],{"style":848},[572,1582],{"className":1583,"style":776},[654],[572,1585],{"className":1586,"style":856},[855],[572,1588,1589,1592],{"style":859},[572,1590],{"className":1591,"style":776},[654],[572,1593,1595],{"className":1594},[623],[572,1596,711],{"className":1597},[623],[572,1599,836],{"className":1600},[835],[572,1602,1604],{"className":1603},[643],[572,1605,1607],{"className":1606,"style":1346},[647],[572,1608],{},[572,1610],{"className":1611},[887,755],[572,1613,1615,1618],{"className":1614},[623],[572,1616,691],{"className":1617},[623,728],[572,1619,1621],{"className":1620},[635],[572,1622,1624],{"className":1623},[639],[572,1625,1627],{"className":1626},[643],[572,1628,1630],{"className":1629,"style":1177},[647],[572,1631,1632,1635],{"style":1198},[572,1633],{"className":1634,"style":655},[654],[572,1636,1638],{"className":1637},[659,660,661,662],[572,1639,702],{"className":1640},[623,662],[572,1642],{"className":1643,"style":1644},[732],"margin-right:1em;",[572,1646],{"className":1647,"style":733},[732],[572,1649,1148],{"className":1650},[737],[572,1652],{"className":1653,"style":1644},[732],[572,1655],{"className":1656,"style":733},[732],[572,1658,1660,1663,1666,1669,1672],{"className":1659},[614],[572,1661],{"className":1662,"style":1053},[618],[572,1664,705],{"className":1665},[623,728],[572,1667],{"className":1668,"style":733},[732],[572,1670,694],{"className":1671},[737],[572,1673],{"className":1674,"style":733},[732],[572,1676,1678,1682,1744],{"className":1677},[614],[572,1679],{"className":1680,"style":1681},[618],"height:1.7936em;vertical-align:-0.686em;",[572,1683,1685,1688,1741],{"className":1684},[623],[572,1686],{"className":1687},[754,755],[572,1689,1691],{"className":1690},[696],[572,1692,1694,1733],{"className":1693},[639,762],[572,1695,1697,1730],{"className":1696},[643],[572,1698,1700,1711,1719],{"className":1699,"style":1305},[647],[572,1701,1702,1705],{"style":1308},[572,1703],{"className":1704,"style":776},[654],[572,1706,1708],{"className":1707},[623],[572,1709,702],{"className":1710},[623],[572,1712,1713,1716],{"style":848},[572,1714],{"className":1715,"style":776},[654],[572,1717],{"className":1718,"style":856},[855],[572,1720,1721,1724],{"style":859},[572,1722],{"className":1723,"style":776},[654],[572,1725,1727],{"className":1726},[623],[572,1728,691],{"className":1729},[623,728],[572,1731,836],{"className":1732},[835],[572,1734,1736],{"className":1735},[643],[572,1737,1739],{"className":1738,"style":1346},[647],[572,1740],{},[572,1742],{"className":1743},[887,755],[572,1745,1747],{"className":1746},[623,783],[572,1748,1750,1785],{"className":1749},[639,762],[572,1751,1753,1782],{"className":1752},[643],[572,1754,1757,1769],{"className":1755,"style":1756},[647],"height:0.9561em;",[572,1758,1760,1763],{"className":1759,"style":798},[797],[572,1761],{"className":1762,"style":776},[654],[572,1764,1766],{"className":1765,"style":805},[623],[572,1767,711],{"className":1768},[623],[572,1770,1772,1775],{"style":1771},"top:-2.9161em;",[572,1773],{"className":1774,"style":776},[654],[572,1776,1778],{"className":1777,"style":819},[818],[821,1779,1780],{"xmlns":823,"width":824,"height":825,"viewBox":826,"preserveAspectRatio":827},[829,1781],{"d":831},[572,1783,836],{"className":1784},[835],[572,1786,1788],{"className":1787},[643],[572,1789,1792],{"className":1790,"style":1791},[647],"height:0.0839em;",[572,1793],{},[558,1795,1797],{"id":1796},"beispiele","Beispiele",[563,1799,1800,1801,1849],{},"Ein gleichseitiges Dreieck hat die Seitenlänge ",[572,1802,1804,1825],{"className":1803},[575],[572,1805,1807],{"className":1806},[579],[581,1808,1809],{"xmlns":583},[585,1810,1811,1822],{},[588,1812,1813,1815,1819],{},[594,1814,624],{},[1816,1817,1818],"mtext",{}," ",[1816,1820,1821],{},"cm",[602,1823,1824],{"encoding":604},"6\\,\\text{cm}",[572,1826,1828],{"className":1827,"ariaHidden":610},[609],[572,1829,1831,1835,1838,1842],{"className":1830},[614],[572,1832],{"className":1833,"style":1834},[618],"height:0.6444em;",[572,1836,624],{"className":1837},[623],[572,1839],{"className":1840,"style":1841},[732],"margin-right:0.1667em;",[572,1843,1846],{"className":1844},[623,1845],"text",[572,1847,1821],{"className":1848},[623],":",[572,1851,1853],{"className":1852},[674],[572,1854,1856,1908],{"className":1855},[575],[572,1857,1859],{"className":1858},[579],[581,1860,1861],{"xmlns":583,"display":683},[585,1862,1863,1905],{},[588,1864,1865,1867,1869,1875,1879,1881,1883,1885,1887,1891,1893,1895,1898,1901,1903],{},[689,1866,705],{},[598,1868,694],{},[696,1870,1871,1873],{},[594,1872,624],{},[594,1874,702],{},[707,1876,1877],{},[594,1878,711],{},[1816,1880,1818],{},[1816,1882,1821],{},[598,1884,694],{},[594,1886,711],{},[707,1888,1889],{},[594,1890,711],{},[1816,1892,1818],{},[1816,1894,1821],{},[598,1896,1897],{},"≈",[594,1899,1900],{},"5,20",[1816,1902,1818],{},[1816,1904,1821],{},[602,1906,1907],{"encoding":604},"h = \\frac{6}{2} \\sqrt{3}\\,\\text{cm} = 3\\sqrt{3}\\,\\text{cm} \\approx 5{,}20\\,\\text{cm}",[572,1909,1911,1929,2062,2137],{"className":1910,"ariaHidden":610},[609],[572,1912,1914,1917,1920,1923,1926],{"className":1913},[614],[572,1915],{"className":1916,"style":1053},[618],[572,1918,705],{"className":1919},[623,728],[572,1921],{"className":1922,"style":733},[732],[572,1924,694],{"className":1925},[737],[572,1927],{"className":1928,"style":733},[732],[572,1930,1932,1935,1997,2044,2047,2053,2056,2059],{"className":1931},[614],[572,1933],{"className":1934,"style":1548},[618],[572,1936,1938,1941,1994],{"className":1937},[623],[572,1939],{"className":1940},[754,755],[572,1942,1944],{"className":1943},[696],[572,1945,1947,1986],{"className":1946},[639,762],[572,1948,1950,1983],{"className":1949},[643],[572,1951,1953,1964,1972],{"className":1952,"style":1567},[647],[572,1954,1955,1958],{"style":1308},[572,1956],{"className":1957,"style":776},[654],[572,1959,1961],{"className":1960},[623],[572,1962,702],{"className":1963},[623],[572,1965,1966,1969],{"style":848},[572,1967],{"className":1968,"style":776},[654],[572,1970],{"className":1971,"style":856},[855],[572,1973,1974,1977],{"style":859},[572,1975],{"className":1976,"style":776},[654],[572,1978,1980],{"className":1979},[623],[572,1981,624],{"className":1982},[623],[572,1984,836],{"className":1985},[835],[572,1987,1989],{"className":1988},[643],[572,1990,1992],{"className":1991,"style":1346},[647],[572,1993],{},[572,1995],{"className":1996},[887,755],[572,1998,2000],{"className":1999},[623,783],[572,2001,2003,2036],{"className":2002},[639,762],[572,2004,2006,2033],{"className":2005},[643],[572,2007,2009,2021],{"className":2008,"style":1756},[647],[572,2010,2012,2015],{"className":2011,"style":798},[797],[572,2013],{"className":2014,"style":776},[654],[572,2016,2018],{"className":2017,"style":805},[623],[572,2019,711],{"className":2020},[623],[572,2022,2023,2026],{"style":1771},[572,2024],{"className":2025,"style":776},[654],[572,2027,2029],{"className":2028,"style":819},[818],[821,2030,2031],{"xmlns":823,"width":824,"height":825,"viewBox":826,"preserveAspectRatio":827},[829,2032],{"d":831},[572,2034,836],{"className":2035},[835],[572,2037,2039],{"className":2038},[643],[572,2040,2042],{"className":2041,"style":1791},[647],[572,2043],{},[572,2045],{"className":2046,"style":1841},[732],[572,2048,2050],{"className":2049},[623,1845],[572,2051,1821],{"className":2052},[623],[572,2054],{"className":2055,"style":733},[732],[572,2057,694],{"className":2058},[737],[572,2060],{"className":2061,"style":733},[732],[572,2063,2065,2069,2072,2119,2122,2128,2131,2134],{"className":2064},[614],[572,2066],{"className":2067,"style":2068},[618],"height:1.04em;vertical-align:-0.0839em;",[572,2070,711],{"className":2071},[623],[572,2073,2075],{"className":2074},[623,783],[572,2076,2078,2111],{"className":2077},[639,762],[572,2079,2081,2108],{"className":2080},[643],[572,2082,2084,2096],{"className":2083,"style":1756},[647],[572,2085,2087,2090],{"className":2086,"style":798},[797],[572,2088],{"className":2089,"style":776},[654],[572,2091,2093],{"className":2092,"style":805},[623],[572,2094,711],{"className":2095},[623],[572,2097,2098,2101],{"style":1771},[572,2099],{"className":2100,"style":776},[654],[572,2102,2104],{"className":2103,"style":819},[818],[821,2105,2106],{"xmlns":823,"width":824,"height":825,"viewBox":826,"preserveAspectRatio":827},[829,2107],{"d":831},[572,2109,836],{"className":2110},[835],[572,2112,2114],{"className":2113},[643],[572,2115,2117],{"className":2116,"style":1791},[647],[572,2118],{},[572,2120],{"className":2121,"style":1841},[732],[572,2123,2125],{"className":2124},[623,1845],[572,2126,1821],{"className":2127},[623],[572,2129],{"className":2130,"style":733},[732],[572,2132,1897],{"className":2133},[737],[572,2135],{"className":2136,"style":733},[732],[572,2138,2140,2144,2148,2156,2160,2163],{"className":2139},[614],[572,2141],{"className":2142,"style":2143},[618],"height:0.8389em;vertical-align:-0.1944em;",[572,2145,2147],{"className":2146},[623],"5",[572,2149,2151],{"className":2150},[623],[572,2152,2155],{"className":2153},[2154],"mpunct",",",[572,2157,2159],{"className":2158},[623],"20",[572,2161],{"className":2162,"style":1841},[732],[572,2164,2166],{"className":2165},[623,1845],[572,2167,1821],{"className":2168},[623],[563,2170,2171,2172,2213],{},"Die Höhe eines gleichseitigen Dreiecks ist ",[572,2173,2175,2192],{"className":2174},[575],[572,2176,2178],{"className":2177},[579],[581,2179,2180],{"xmlns":583},[585,2181,2182,2190],{},[588,2183,2184,2186,2188],{},[594,2185,624],{},[1816,2187,1818],{},[1816,2189,1821],{},[602,2191,1824],{"encoding":604},[572,2193,2195],{"className":2194,"ariaHidden":610},[609],[572,2196,2198,2201,2204,2207],{"className":2197},[614],[572,2199],{"className":2200,"style":1834},[618],[572,2202,624],{"className":2203},[623],[572,2205],{"className":2206,"style":1841},[732],[572,2208,2210],{"className":2209},[623,1845],[572,2211,1821],{"className":2212},[623],". Die Seitenlänge ist:",[572,2215,2217],{"className":2216},[674],[572,2218,2220,2276],{"className":2219},[575],[572,2221,2223],{"className":2222},[579],[581,2224,2225],{"xmlns":583,"display":683},[585,2226,2227,2273],{},[588,2228,2229,2231,2233,2248,2250,2252,2254,2256,2260,2262,2264,2266,2269,2271],{},[689,2230,691],{},[598,2232,694],{},[696,2234,2235,2244],{},[588,2236,2237,2239,2242],{},[594,2238,702],{},[598,2240,2241],{},"⋅",[594,2243,624],{},[707,2245,2246],{},[594,2247,711],{},[1816,2249,1818],{},[1816,2251,1821],{},[598,2253,694],{},[594,2255,1128],{},[707,2257,2258],{},[594,2259,711],{},[1816,2261,1818],{},[1816,2263,1821],{},[598,2265,1897],{},[594,2267,2268],{},"6,93",[1816,2270,1818],{},[1816,2272,1821],{},[602,2274,2275],{"encoding":604},"a = \\frac{2 \\cdot 6}{\\sqrt{3}}\\,\\text{cm} = 4\\sqrt{3}\\,\\text{cm} \\approx 6{,}93\\,\\text{cm}",[572,2277,2279,2297,2440,2514],{"className":2278,"ariaHidden":610},[609],[572,2280,2282,2285,2288,2291,2294],{"className":2281},[614],[572,2283],{"className":2284,"style":724},[618],[572,2286,691],{"className":2287},[623,728],[572,2289],{"className":2290,"style":733},[732],[572,2292,694],{"className":2293},[737],[572,2295],{"className":2296,"style":733},[732],[572,2298,2300,2304,2422,2425,2431,2434,2437],{"className":2299},[614],[572,2301],{"className":2302,"style":2303},[618],"height:2.2514em;vertical-align:-0.93em;",[572,2305,2307,2310,2419],{"className":2306},[623],[572,2308],{"className":2309},[754,755],[572,2311,2313],{"className":2312},[696],[572,2314,2316,2411],{"className":2315},[639,762],[572,2317,2319,2408],{"className":2318},[643],[572,2320,2322,2377,2385],{"className":2321,"style":1567},[647],[572,2323,2324,2327],{"style":772},[572,2325],{"className":2326,"style":776},[654],[572,2328,2330],{"className":2329},[623],[572,2331,2333],{"className":2332},[623,783],[572,2334,2336,2369],{"className":2335},[639,762],[572,2337,2339,2366],{"className":2338},[643],[572,2340,2342,2354],{"className":2341,"style":793},[647],[572,2343,2345,2348],{"className":2344,"style":798},[797],[572,2346],{"className":2347,"style":776},[654],[572,2349,2351],{"className":2350,"style":805},[623],[572,2352,711],{"className":2353},[623],[572,2355,2356,2359],{"style":811},[572,2357],{"className":2358,"style":776},[654],[572,2360,2362],{"className":2361,"style":819},[818],[821,2363,2364],{"xmlns":823,"width":824,"height":825,"viewBox":826,"preserveAspectRatio":827},[829,2365],{"d":831},[572,2367,836],{"className":2368},[835],[572,2370,2372],{"className":2371},[643],[572,2373,2375],{"className":2374,"style":843},[647],[572,2376],{},[572,2378,2379,2382],{"style":848},[572,2380],{"className":2381,"style":776},[654],[572,2383],{"className":2384,"style":856},[855],[572,2386,2387,2390],{"style":859},[572,2388],{"className":2389,"style":776},[654],[572,2391,2393,2396,2399,2402,2405],{"className":2392},[623],[572,2394,702],{"className":2395},[623],[572,2397],{"className":2398,"style":1256},[732],[572,2400,2241],{"className":2401},[666],[572,2403],{"className":2404,"style":1256},[732],[572,2406,624],{"className":2407},[623],[572,2409,836],{"className":2410},[835],[572,2412,2414],{"className":2413},[643],[572,2415,2417],{"className":2416,"style":881},[647],[572,2418],{},[572,2420],{"className":2421},[887,755],[572,2423],{"className":2424,"style":1841},[732],[572,2426,2428],{"className":2427},[623,1845],[572,2429,1821],{"className":2430},[623],[572,2432],{"className":2433,"style":733},[732],[572,2435,694],{"className":2436},[737],[572,2438],{"className":2439,"style":733},[732],[572,2441,2443,2446,2449,2496,2499,2505,2508,2511],{"className":2442},[614],[572,2444],{"className":2445,"style":2068},[618],[572,2447,1128],{"className":2448},[623],[572,2450,2452],{"className":2451},[623,783],[572,2453,2455,2488],{"className":2454},[639,762],[572,2456,2458,2485],{"className":2457},[643],[572,2459,2461,2473],{"className":2460,"style":1756},[647],[572,2462,2464,2467],{"className":2463,"style":798},[797],[572,2465],{"className":2466,"style":776},[654],[572,2468,2470],{"className":2469,"style":805},[623],[572,2471,711],{"className":2472},[623],[572,2474,2475,2478],{"style":1771},[572,2476],{"className":2477,"style":776},[654],[572,2479,2481],{"className":2480,"style":819},[818],[821,2482,2483],{"xmlns":823,"width":824,"height":825,"viewBox":826,"preserveAspectRatio":827},[829,2484],{"d":831},[572,2486,836],{"className":2487},[835],[572,2489,2491],{"className":2490},[643],[572,2492,2494],{"className":2493,"style":1791},[647],[572,2495],{},[572,2497],{"className":2498,"style":1841},[732],[572,2500,2502],{"className":2501},[623,1845],[572,2503,1821],{"className":2504},[623],[572,2506],{"className":2507,"style":733},[732],[572,2509,1897],{"className":2510},[737],[572,2512],{"className":2513,"style":733},[732],[572,2515,2517,2520,2523,2529,2533,2536],{"className":2516},[614],[572,2518],{"className":2519,"style":2143},[618],[572,2521,624],{"className":2522},[623],[572,2524,2526],{"className":2525},[623],[572,2527,2155],{"className":2528},[2154],[572,2530,2532],{"className":2531},[623],"93",[572,2534],{"className":2535,"style":1841},[732],[572,2537,2539],{"className":2538},[623,1845],[572,2540,1821],{"className":2541},[623],[558,2543,2545],{"id":2544},"typische-fehler","Typische Fehler",[2547,2548,2549,3170,3659],"ul",{},[2550,2551,2552,2553,2688,2689,2962,2963,3014,3015,3092,3093,3169],"li",{},"Beim Pythagoras ",[572,2554,2556,2578],{"className":2555},[575],[572,2557,2559],{"className":2558},[579],[581,2560,2561],{"xmlns":583},[585,2562,2563,2575],{},[588,2564,2565],{},[696,2566,2567,2573],{},[591,2568,2569,2571],{},[689,2570,691],{},[594,2572,702],{},[594,2574,702],{},[602,2576,2577],{"encoding":604},"\\frac{a^2}{2}",[572,2579,2581],{"className":2580,"ariaHidden":610},[609],[572,2582,2584,2588],{"className":2583},[614],[572,2585],{"className":2586,"style":2587},[618],"height:1.3629em;vertical-align:-0.345em;",[572,2589,2591,2594,2685],{"className":2590},[623],[572,2592],{"className":2593},[754,755],[572,2595,2597],{"className":2596},[696],[572,2598,2600,2677],{"className":2599},[639,762],[572,2601,2603,2674],{"className":2602},[643],[572,2604,2607,2621,2629],{"className":2605,"style":2606},[647],"height:1.0179em;",[572,2608,2609,2612],{"style":976},[572,2610],{"className":2611,"style":776},[654],[572,2613,2615],{"className":2614},[659,660,661,662],[572,2616,2618],{"className":2617},[623,662],[572,2619,702],{"className":2620},[623,662],[572,2622,2623,2626],{"style":848},[572,2624],{"className":2625,"style":776},[654],[572,2627],{"className":2628,"style":856},[855],[572,2630,2631,2634],{"style":999},[572,2632],{"className":2633,"style":776},[654],[572,2635,2637],{"className":2636},[659,660,661,662],[572,2638,2640],{"className":2639},[623,662],[572,2641,2643,2646],{"className":2642},[623,662],[572,2644,691],{"className":2645},[623,728,662],[572,2647,2649],{"className":2648},[635],[572,2650,2652],{"className":2651},[639],[572,2653,2655],{"className":2654},[643],[572,2656,2659],{"className":2657,"style":2658},[647],"height:0.8913em;",[572,2660,2662,2666],{"style":2661},"top:-2.931em;margin-right:0.0714em;",[572,2663],{"className":2664,"style":2665},[654],"height:2.5em;",[572,2667,2671],{"className":2668},[659,2669,2670,662],"reset-size3","size1",[572,2672,702],{"className":2673},[623,662],[572,2675,836],{"className":2676},[835],[572,2678,2680],{"className":2679},[643],[572,2681,2683],{"className":2682,"style":1021},[647],[572,2684],{},[572,2686],{"className":2687},[887,755]," statt ",[572,2690,2692,2732],{"className":2691},[575],[572,2693,2695],{"className":2694},[579],[581,2696,2697],{"xmlns":583},[585,2698,2699,2729],{},[588,2700,2701,2717,2719],{},[591,2702,2703,2715],{},[588,2704,2705,2707,2713],{},[598,2706,1096],{"fence":610},[696,2708,2709,2711],{},[689,2710,691],{},[594,2712,702],{},[598,2714,1105],{"fence":610},[594,2716,702],{},[598,2718,694],{},[696,2720,2721,2727],{},[591,2722,2723,2725],{},[689,2724,691],{},[594,2726,702],{},[594,2728,1128],{},[602,2730,2731],{"encoding":604},"\\left(\\frac{a}{2}\\right)^2 = \\frac{a^2}{4}",[572,2733,2735,2862],{"className":2734,"ariaHidden":610},[609],[572,2736,2738,2742,2853,2856,2859],{"className":2737},[614],[572,2739],{"className":2740,"style":2741},[618],"height:1.404em;vertical-align:-0.35em;",[572,2743,2745,2828],{"className":2744},[1273],[572,2746,2748,2754,2822],{"className":2747},[1273],[572,2749,2751],{"className":2750,"style":1281},[754,1280],[572,2752,1096],{"className":2753},[1285,2670],[572,2755,2757,2760,2819],{"className":2756},[623],[572,2758],{"className":2759},[754,755],[572,2761,2763],{"className":2762},[696],[572,2764,2766,2811],{"className":2765},[639,762],[572,2767,2769,2808],{"className":2768},[643],[572,2770,2772,2786,2794],{"className":2771,"style":973},[647],[572,2773,2774,2777],{"style":976},[572,2775],{"className":2776,"style":776},[654],[572,2778,2780],{"className":2779},[659,660,661,662],[572,2781,2783],{"className":2782},[623,662],[572,2784,702],{"className":2785},[623,662],[572,2787,2788,2791],{"style":848},[572,2789],{"className":2790,"style":776},[654],[572,2792],{"className":2793,"style":856},[855],[572,2795,2796,2799],{"style":999},[572,2797],{"className":2798,"style":776},[654],[572,2800,2802],{"className":2801},[659,660,661,662],[572,2803,2805],{"className":2804},[623,662],[572,2806,691],{"className":2807},[623,728,662],[572,2809,836],{"className":2810},[835],[572,2812,2814],{"className":2813},[643],[572,2815,2817],{"className":2816,"style":1021},[647],[572,2818],{},[572,2820],{"className":2821},[887,755],[572,2823,2825],{"className":2824,"style":1281},[887,1280],[572,2826,1105],{"className":2827},[1285,2670],[572,2829,2831],{"className":2830},[635],[572,2832,2834],{"className":2833},[639],[572,2835,2837],{"className":2836},[643],[572,2838,2841],{"className":2839,"style":2840},[647],"height:1.054em;",[572,2842,2844,2847],{"style":2843},"top:-3.3029em;margin-right:0.05em;",[572,2845],{"className":2846,"style":655},[654],[572,2848,2850],{"className":2849},[659,660,661,662],[572,2851,702],{"className":2852},[623,662],[572,2854],{"className":2855,"style":733},[732],[572,2857,694],{"className":2858},[737],[572,2860],{"className":2861,"style":733},[732],[572,2863,2865,2868],{"className":2864},[614],[572,2866],{"className":2867,"style":2587},[618],[572,2869,2871,2874,2959],{"className":2870},[623],[572,2872],{"className":2873},[754,755],[572,2875,2877],{"className":2876},[696],[572,2878,2880,2951],{"className":2879},[639,762],[572,2881,2883,2948],{"className":2882},[643],[572,2884,2886,2900,2908],{"className":2885,"style":2606},[647],[572,2887,2888,2891],{"style":976},[572,2889],{"className":2890,"style":776},[654],[572,2892,2894],{"className":2893},[659,660,661,662],[572,2895,2897],{"className":2896},[623,662],[572,2898,1128],{"className":2899},[623,662],[572,2901,2902,2905],{"style":848},[572,2903],{"className":2904,"style":776},[654],[572,2906],{"className":2907,"style":856},[855],[572,2909,2910,2913],{"style":999},[572,2911],{"className":2912,"style":776},[654],[572,2914,2916],{"className":2915},[659,660,661,662],[572,2917,2919],{"className":2918},[623,662],[572,2920,2922,2925],{"className":2921},[623,662],[572,2923,691],{"className":2924},[623,728,662],[572,2926,2928],{"className":2927},[635],[572,2929,2931],{"className":2930},[639],[572,2932,2934],{"className":2933},[643],[572,2935,2937],{"className":2936,"style":2658},[647],[572,2938,2939,2942],{"style":2661},[572,2940],{"className":2941,"style":2665},[654],[572,2943,2945],{"className":2944},[659,2669,2670,662],[572,2946,702],{"className":2947},[623,662],[572,2949,836],{"className":2950},[835],[572,2952,2954],{"className":2953},[643],[572,2955,2957],{"className":2956,"style":1021},[647],[572,2958],{},[572,2960],{"className":2961},[887,755]," abziehen. Für ",[572,2964,2966,2984],{"className":2965},[575],[572,2967,2969],{"className":2968},[579],[581,2970,2971],{"xmlns":583},[585,2972,2973,2981],{},[588,2974,2975,2977,2979],{},[689,2976,691],{},[598,2978,694],{},[594,2980,624],{},[602,2982,2983],{"encoding":604},"a = 6",[572,2985,2987,3005],{"className":2986,"ariaHidden":610},[609],[572,2988,2990,2993,2996,2999,3002],{"className":2989},[614],[572,2991],{"className":2992,"style":724},[618],[572,2994,691],{"className":2995},[623,728],[572,2997],{"className":2998,"style":733},[732],[572,3000,694],{"className":3001},[737],[572,3003],{"className":3004,"style":733},[732],[572,3006,3008,3011],{"className":3007},[614],[572,3009],{"className":3010,"style":1834},[618],[572,3012,624],{"className":3013},[623]," käme 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