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Seine Diagonale ist:",[573,1506,1508],{"className":1507},[659],[573,1509,1511,1570],{"className":1510},[576],[573,1512,1514],{"className":1513},[580],[582,1515,1516],{"xmlns":584,"display":668},[586,1517,1518,1567],{},[589,1519,1520,1522,1524,1542,1544,1546,1548,1553,1555,1557,1560,1563,1565],{},[592,1521,689],{},[676,1523,678],{},[680,1525,1526],{},[589,1527,1528,1534,1536],{},[685,1529,1530,1532],{},[691,1531,1431],{},[691,1533,693],{},[676,1535,1015],{},[685,1537,1538,1540],{},[691,1539,1475],{},[691,1541,693],{},[906,1543,908],{},[906,1545,911],{},[676,1547,678],{},[680,1549,1550],{},[691,1551,1552],{},"8425",[906,1554,908],{},[906,1556,911],{},[676,1558,1559],{},"≈",[691,1561,1562],{},"91,8",[906,1564,908],{},[906,1566,911],{},[596,1568,1569],{"encoding":598},"d = \\sqrt{80^2 + 45^2}\\,\\text{cm} = \\sqrt{8425}\\,\\text{cm} \\approx 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Diagonale eines Rechtecks ist ",[573,1841,1843,1863],{"className":1842},[576],[573,1844,1846],{"className":1845},[580],[582,1847,1848],{"xmlns":584},[586,1849,1850,1860],{},[589,1851,1852,1855,1857],{},[691,1853,1854],{},"10",[906,1856,908],{},[906,1858,1859],{},"m",[596,1861,1862],{"encoding":598},"10\\,\\text{m}",[573,1864,1866],{"className":1865,"ariaHidden":603},[602],[573,1867,1869,1872,1875,1878],{"className":1868},[607],[573,1870],{"className":1871,"style":924},[611],[573,1873,1854],{"className":1874},[616],[573,1876],{"className":1877,"style":931},[721],[573,1879,1881],{"className":1880},[616,935],[573,1882,1859],{"className":1883},[616]," lang, eine Seite ",[573,1886,1888,1907],{"className":1887},[576],[573,1889,1891],{"className":1890},[580],[582,1892,1893],{"xmlns":584},[586,1894,1895,1904],{},[589,1896,1897,1900,1902],{},[691,1898,1899],{},"6",[906,1901,908],{},[906,1903,1859],{},[596,1905,1906],{"encoding":598},"6\\,\\text{m}",[573,1908,1910],{"className":1909,"ariaHidden":603},[602],[573,1911,1913,1916,1919,1922],{"className":1912},[607],[573,1914],{"className":1915,"style":924},[611],[573,1917,1899],{"className":1918},[616],[573,1920],{"className":1921,"style":931},[721],[573,1923,1925],{"className":1924},[616,935],[573,1926,1859],{"className":1927},[616],". Die andere Seite ist:",[573,1930,1932],{"className":1931},[659],[573,1933,1935,1992],{"className":1934},[576],[573,1936,1938],{"className":1937},[580],[582,1939,1940],{"xmlns":584,"display":668},[586,1941,1942,1989],{},[589,1943,1944,1946,1948,1966,1968,1970,1972,1977,1979,1981,1983,1985,1987],{},[592,1945,633],{},[676,1947,678],{},[680,1949,1950],{},[589,1951,1952,1958,1960],{},[685,1953,1954,1956],{},[691,1955,1854],{},[691,1957,693],{},[676,1959,696],{},[685,1961,1962,1964],{},[691,1963,1899],{},[691,1965,693],{},[906,1967,908],{},[906,1969,1859],{},[676,1971,678],{},[680,1973,1974],{},[691,1975,1976],{},"64",[906,1978,908],{},[906,1980,1859],{},[676,1982,678],{},[691,1984,1621],{},[906,1986,908],{},[906,1988,1859],{},[596,1990,1991],{"encoding":598},"b = \\sqrt{10^2 - 6^2}\\,\\text{m} = \\sqrt{64}\\,\\text{m} = 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b",[573,2295,2297,2468,2487],{"className":2296,"ariaHidden":603},[602],[573,2298,2300,2304,2418,2421,2465],{"className":2299},[607],[573,2301],{"className":2302,"style":2303},[611],"height:1.1078em;vertical-align:-0.1944em;",[573,2305,2307],{"className":2306},[616,740],[573,2308,2310,2409],{"className":2309},[744,745],[573,2311,2313,2406],{"className":2312},[749],[573,2314,2317,2393],{"className":2315,"style":2316},[753],"height:0.9134em;",[573,2318,2320,2323],{"className":2319,"style":1250},[758],[573,2321],{"className":2322,"style":1254},[763],[573,2324,2326,2355,2358,2361,2364],{"className":2325,"style":1258},[616],[573,2327,2329,2332],{"className":2328},[616],[573,2330,594],{"className":2331},[616,617],[573,2333,2335],{"className":2334},[778],[573,2336,2338],{"className":2337},[744],[573,2339,2341],{"className":2340},[749],[573,2342,2344],{"className":2343,"style":788},[753],[573,2345,2346,2349],{"style":791},[573,2347],{"className":2348,"style":795},[763],[573,2350,2352],{"className":2351},[799,800,801,802],[573,2353,693],{"className":2354},[616,802],[573,2356],{"className":2357,"style":809},[721],[573,2359,1015],{"className":2360},[813],[573,2362],{"className":2363,"style":809},[721],[573,2365,2367,2370],{"className":2366},[616],[573,2368,633],{"className":2369},[616,617],[573,2371,2373],{"className":2372},[778],[573,2374,2376],{"className":2375},[744],[573,2377,2379],{"className":2378},[749],[573,2380,2382],{"className":2381,"style":788},[753],[573,2383,2384,2387],{"style":791},[573,2385],{"className":2386,"style":795},[763],[573,2388,2390],{"className":2389},[799,800,801,802],[573,2391,693],{"className":2392},[616,802],[573,2394,2396,2399],{"style":2395},"top:-2.8734em;",[573,2397],{"className":2398,"style":1254},[763],[573,2400,2402],{"className":2401,"style":1283},[855],[858,2403,2404],{"xmlns":860,"width":861,"height":1286,"viewBox":1287,"preserveAspectRatio":864},[866,2405],{"d":1290},[573,2407,873],{"className":2408},[872],[573,2410,2412],{"className":2411},[749],[573,2413,2416],{"className":2414,"style":2415},[753],"height:0.1266em;",[573,2417],{},[573,2419],{"className":2420,"style":722},[721],[573,2422,2424,2458,2462],{"className":2423},[726],[573,2425,2427],{"className":2426},[726],[573,2428,2431],{"className":2429},[616,2430],"vbox",[573,2432,2435],{"className":2433},[2434],"thinbox",[573,2436,2439,2443,2454],{"className":2437},[2438],"rlap",[573,2440],{"className":2441,"style":2442},[611],"height:0.8889em;vertical-align:-0.1944em;",[573,2444,2447],{"className":2445},[2446],"inner",[573,2448,2450],{"className":2449},[616],[573,2451,2453],{"className":2452},[726],"",[573,2455],{"className":2456},[2457],"fix",[573,2459],{"className":2460},[721,2461],"nobreak",[573,2463,678],{"className":2464},[726],[573,2466],{"className":2467,"style":722},[721],[573,2469,2471,2475,2478,2481,2484],{"className":2470},[607],[573,2472],{"className":2473,"style":2474},[611],"height:0.6667em;vertical-align:-0.0833em;",[573,2476,594],{"className":2477},[616,617],[573,2479],{"className":2480,"style":809},[721],[573,2482,1015],{"className":2483},[813],[573,2485],{"className":2486,"style":809},[721],[573,2488,2490,2493],{"className":2489},[607],[573,2491],{"className":2492,"style":645},[611],[573,2494,633],{"className":2495},[616,617],". Für das erste Beispiel wäre ",[573,2498,2500,2523],{"className":2499},[576],[573,2501,2503],{"className":2502},[580],[582,2504,2505],{"xmlns":584},[586,2506,2507,2520],{},[589,2508,2509,2511,2513,2515,2517],{},[691,2510,904],{},[676,2512,1015],{},[691,2514,954],{},[676,2516,678],{},[691,2518,2519],{},"17",[596,2521,2522],{"encoding":598},"12 + 5 = 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sie ist kürzer als die Diagonale.",[2248,2761,2762,2763,2846],{},"Am Ende die Wurzel vergessen und ",[573,2764,2766,2788],{"className":2765},[576],[573,2767,2769],{"className":2768},[580],[582,2770,2771],{"xmlns":584},[586,2772,2773,2785],{},[589,2774,2775,2781,2783],{},[685,2776,2777,2779],{},[592,2778,689],{},[691,2780,693],{},[676,2782,678],{},[691,2784,1050],{},[596,2786,2787],{"encoding":598},"d^2 = 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