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= \\frac{3}{2} \\cdot 2^2 \\cdot \\sqrt{3}\\,\\text{cm}^2 = 6\\sqrt{3}\\,\\text{cm}^2 \\approx 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,[573,1850,1852],{"className":1851},[624,1462],[573,1853,1439],{"className":1854},[624],[573,1856,1858],{"className":1857},[636],[573,1859,1861],{"className":1860},[640],[573,1862,1864],{"className":1863},[644],[573,1865,1867],{"className":1866,"style":1352},[648],[573,1868,1869,1872],{"style":1355},[573,1870],{"className":1871,"style":656},[655],[573,1873,1875],{"className":1874},[660,661,662,663],[573,1876,795],{"className":1877},[624,663],[573,1879],{"className":1880,"style":1077},[1076],[573,1882,1532],{"className":1883},[1081],[573,1885],{"className":1886,"style":1077},[1076],[573,1888,1890,1894,1898,1906,1910,1913],{"className":1889},[615],[573,1891],{"className":1892,"style":1893},[619],"height:1.0585em;vertical-align:-0.1944em;",[573,1895,1897],{"className":1896},[624],"10",[573,1899,1901],{"className":1900},[624],[573,1902,1905],{"className":1903},[1904],"mpunct",",",[573,1907,1909],{"className":1908},[624],"39",[573,1911],{"className":1912,"style":1458},[1076],[573,1914,1916,1922],{"className":1915},[624],[573,1917,1919],{"className":1918},[624,1462],[573,1920,1439],{"className":1921},[624],[573,1923,1925],{"className":1924},[636],[573,1926,1928],{"className":1927},[640],[573,1929,1931],{"className":1930},[644],[573,1932,1934],{"className":1933,"style":1352},[648],[573,1935,1936,1939],{"style":1355},[573,1937],{"className":1938,"style":656},[655],[573,1940,1942],{"className":1941},[660,661,662,663],[573,1943,795],{"className":1944},[624,663],[565,1946,1947,1948,1466],{},"Eine sechseckige Bodenfliese hat die Seitenlänge ",[573,1949,1951,1970],{"className":1950},[576],[573,1952,1954],{"className":1953},[580],[582,1955,1956],{"xmlns":584},[586,1957,1958,1967],{},[589,1959,1960,1963,1965],{},[595,1961,1962],{},"5",[1434,1964,1436],{},[1434,1966,1439],{},[603,1968,1969],{"encoding":605},"5\\,\\text{cm}",[573,1971,1973],{"className":1972,"ariaHidden":611},[610],[573,1974,1976,1979,1982,1985],{"className":1975},[615],[573,1977],{"className":1978,"style":1091},[619],[573,1980,1962],{"className":1981},[624],[573,1983],{"className":1984,"style":1458},[1076],[573,1986,1988],{"className":1987},[624,1462],[573,1989,1439],{"className":1990},[624],[573,1992,1994],{"className":1993},[999],[573,1995,1997,2071],{"className":1996},[576],[573,1998,2000],{"className":1999},[580],[582,2001,2002],{"xmlns":584,"display":1008},[586,2003,2004,2068],{},[589,2005,2006,2008,2010,2016,2018,2024,2026,2030,2032,2038,2040,2043,2047,2049,2055,2057,2060,2062],{},[686,2007,1015],{},[599,2009,1018],{},[787,2011,2012,2014],{},[595,2013,804],{},[595,2015,795],{},[599,2017,1024],{},[592,2019,2020,2022],{},[595,2021,1962],{},[595,2023,795],{},[599,2025,1024],{},[800,2027,2028],{},[595,2029,804],{},[1434,2031,1436],{},[592,2033,2034,2036],{},[1434,2035,1439],{},[595,2037,795],{},[599,2039,1018],{},[595,2041,2042],{},"37,5",[800,2044,2045],{},[595,2046,804],{},[1434,2048,1436],{},[592,2050,2051,2053],{},[1434,2052,1439],{},[595,2054,795],{},[599,2056,1532],{},[595,2058,2059],{},"64,95",[1434,2061,1436],{},[592,2063,2064,2066],{},[1434,2065,1439],{},[595,2067,795],{},[603,2069,2070],{"encoding":605},"A = \\frac{3}{2} \\cdot 5^2 \\cdot \\sqrt{3}\\,\\text{cm}^2 = 37{,}5\\sqrt{3}\\,\\text{cm}^2 \\approx 64{,}95\\,\\text{cm}^2",[573,2072,2074,2092,2169,2213,2310,2421],{"className":2073,"ariaHidden":611},[610],[573,2075,2077,2080,2083,2086,2089],{"className":2076},[615],[573,2078],{"className":2079,"style":1069},[619],[573,2081,1015],{"className":2082},[624,704],[573,2084],{"className":2085,"style":1077},[1076],[573,2087,1018],{"className":2088},[1081],[573,2090],{"className":2091,"style":1077},[1076],[573,2093,2095,2098,2160,2163,2166],{"className":2094},[615],[573,2096],{"className":2097,"style":1270},[619],[573,2099,2101,2104,2157],{"className":2100},[624],[573,2102],{"className":2103},[824,825],[573,2105,2107],{"className":2106},[787],[573,2108,2110,2149],{"className":2109},[640,832],[573,2111,2113,2146],{"className":2112},[644],[573,2114,2116,2127,2135],{"className":2115,"style":1289},[648],[573,2117,2118,2121],{"style":1133},[573,2119],{"className":2120,"style":846},[655],[573,2122,2124],{"className":2123},[624],[573,2125,795],{"className":2126},[624],[573,2128,2129,2132],{"style":858},[573,2130],{"className":2131,"style":846},[655],[573,2133],{"className":2134,"style":866},[865],[573,2136,2137,2140],{"style":1153},[573,2138],{"className":2139,"style":846},[655],[573,2141,2143],{"className":2142},[624],[573,2144,804],{"className":2145},[624],[573,2147,917],{"className":2148},[916],[573,2150,2152],{"className":2151},[644],[573,2153,2155],{"className":2154,"style":1199},[648],[573,2156],{},[573,2158],{"className":2159},[930,825],[573,2161],{"className":2162,"style":1098},[1076],[573,2164,1024],{"className":2165},[667],[573,2167],{"className":2168,"style":1098},[1076],[573,2170,2172,2175,2204,2207,2210],{"className":2171},[615],[573,2173],{"className":2174,"style":1352},[619],[573,2176,2178,2181],{"className":2177},[624],[573,2179,1962],{"className":2180},[624],[573,2182,2184],{"className":2183},[636],[573,2185,2187],{"className":2186},[640],[573,2188,2190],{"className":2189},[644],[573,2191,2193],{"className":2192,"style":1352},[648],[573,2194,2195,2198],{"style":1355},[573,2196],{"className":2197,"style":656},[655],[573,2199,2201],{"className":2200},[660,661,662,663],[573,2202,795],{"className":2203},[624,663],[573,2205],{"className":2206,"style":1098},[1076],[573,2208,1024],{"className":2209},[667],[573,2211],{"className":2212,"style":1098},[1076],[573,2214,2216,2219,2266,2269,2301,2304,2307],{"className":2215},[615],[573,2217],{"className":2218,"style":1695},[619],[573,2220,2222],{"className":2221},[624,934],[573,2223,2225,2258],{"className":2224},[640,832],[573,2226,2228,2255],{"className":2227},[644],[573,2229,2231,2243],{"className":2230,"style":1217},[648],[573,2232,2234,2237],{"className":2233,"style":949},[948],[573,2235],{"className":2236,"style":846},[655],[573,2238,2240],{"className":2239,"style":956},[624],[573,2241,804],{"className":2242},[624],[573,2244,2245,2248],{"style":1232},[573,2246],{"className":2247,"style":846},[655],[573,2249,2251],{"className":2250,"style":970},[969],[972,2252,2253],{"xmlns":974,"width":975,"height":976,"viewBox":977,"preserveAspectRatio":978},[980,2254],{"d":982},[573,2256,917],{"className":2257},[916],[573,2259,2261],{"className":2260},[644],[573,2262,2264],{"className":2263,"style":1252},[648],[573,2265],{},[573,2267],{"className":2268,"style":1458},[1076],[573,2270,2272,2278],{"className":2271},[624],[573,2273,2275],{"className":2274},[624,1462],[573,2276,1439],{"className":2277},[624],[573,2279,2281],{"className":2280},[636],[573,2282,2284],{"className":2283},[640],[573,2285,2287],{"className":2286},[644],[573,2288,2290],{"className":2289,"style":1352},[648],[573,2291,2292,2295],{"style":1355},[573,2293],{"className":2294,"style":656},[655],[573,2296,2298],{"className":2297},[660,661,662,663],[573,2299,795],{"className":2300},[624,663],[573,2302],{"className":2303,"style":1077},[1076],[573,2305,1018],{"className":2306},[1081],[573,2308],{"className":2309,"style":1077},[1076],[573,2311,2313,2317,2321,2327,2330,2377,2380,2412,2415,2418],{"className":2312},[615],[573,2314],{"className":2315,"style":2316},[619],"height:1.1505em;vertical-align:-0.1944em;",[573,2318,2320],{"className":2319},[624],"37",[573,2322,2324],{"className":2323},[624],[573,2325,1905],{"className":2326},[1904],[573,2328,1962],{"className":2329},[624],[573,2331,2333],{"className":2332},[624,934],[573,2334,2336,2369],{"className":2335},[640,832],[573,2337,2339,2366],{"className":2338},[644],[573,2340,2342,2354],{"className":2341,"style":1217},[648],[573,2343,2345,2348],{"className":2344,"style":949},[948],[573,2346],{"className":2347,"style":846},[655],[573,2349,2351],{"className":2350,"style":956},[624],[573,2352,804],{"className":2353},[624],[573,2355,2356,2359],{"style":1232},[573,2357],{"className":2358,"style":846},[655],[573,2360,2362],{"className":2361,"style":970},[969],[972,2363,2364],{"xmlns":974,"width":975,"height":976,"viewBox":977,"preserveAspectRatio":978},[980,2365],{"d":982},[573,2367,917],{"className":2368},[916],[573,2370,2372],{"className":2371},[644],[573,2373,2375],{"className":2374,"style":1252},[648],[573,2376],{},[573,2378],{"className":2379,"style":1458},[1076],[573,2381,2383,2389],{"className":2382},[624],[573,2384,2386],{"className":2385},[624,1462],[573,2387,1439],{"className":2388},[624],[573,2390,2392],{"className":2391},[636],[573,2393,2395],{"className":2394},[640],[573,2396,2398],{"className":2397},[644],[573,2399,2401],{"className":2400,"style":1352},[648],[573,2402,2403,2406],{"style":1355},[573,2404],{"className":2405,"style":656},[655],[573,2407,2409],{"className":2408},[660,661,662,663],[573,2410,795],{"className":2411},[624,663],[573,2413],{"className":2414,"style":1077},[1076],[573,2416,1532],{"className":2417},[1081],[573,2419],{"className":2420,"style":1077},[1076],[573,2422,2424,2427,2431,2437,2441,2444],{"className":2423},[615],[573,2425],{"className":2426,"style":1893},[619],[573,2428,2430],{"className":2429},[624],"64",[573,2432,2434],{"className":2433},[624],[573,2435,1905],{"className":2436},[1904],[573,2438,2440],{"className":2439},[624],"95",[573,2442],{"className":2443,"style":1458},[1076],[573,2445,2447,2453],{"className":2446},[624],[573,2448,2450],{"className":2449},[624,1462],[573,2451,1439],{"className":2452},[624],[573,2454,2456],{"className":2455},[636],[573,2457,2459],{"className":2458},[640],[573,2460,2462],{"className":2461},[644],[573,2463,2465],{"className":2464,"style":1352},[648],[573,2466,2467,2470],{"style":1355},[573,2468],{"className":2469,"style":656},[655],[573,2471,2473],{"className":2472},[660,661,662,663],[573,2474,795],{"className":2475},[624,663],[560,2477,2479],{"id":2478},"typische-fehler","Typische Fehler",[2481,2482,2483,2655,2658],"ul",{},[2484,2485,2486,2487,2572,2573,2654],"li",{},"Nur ein Dreieck berechnen und das Mal-6 vergessen. Im ersten Beispiel käme ",[573,2488,2490,2513],{"className":2489},[576],[573,2491,2493],{"className":2492},[580],[582,2494,2495],{"xmlns":584},[586,2496,2497,2510],{},[589,2498,2499,2502,2504],{},[595,2500,2501],{},"1,73",[1434,2503,1436],{},[592,2505,2506,2508],{},[1434,2507,1439],{},[595,2509,795],{},[603,2511,2512],{"encoding":605},"1{,}73\\,\\text{cm}^2",[573,2514,2516],{"className":2515,"ariaHidden":611},[610],[573,2517,2519,2523,2527,2533,2537,2540],{"className":2518},[615],[573,2520],{"className":2521,"style":2522},[619],"height:1.0085em;vertical-align:-0.1944em;",[573,2524,2526],{"className":2525},[624],"1",[573,2528,2530],{"className":2529},[624],[573,2531,1905],{"className":2532},[1904],[573,2534,2536],{"className":2535},[624],"73",[573,2538],{"className":2539,"style":1458},[1076],[573,2541,2543,2549],{"className":2542},[624],[573,2544,2546],{"className":2545},[624,1462],[573,2547,1439],{"className":2548},[624],[573,2550,2552],{"className":2551},[636],[573,2553,2555],{"className":2554},[640],[573,2556,2558],{"className":2557},[644],[573,2559,2561],{"className":2560,"style":1178},[648],[573,2562,2563,2566],{"style":651},[573,2564],{"className":2565,"style":656},[655],[573,2567,2569],{"className":2568},[660,661,662,663],[573,2570,795],{"className":2571},[624,663]," statt ",[573,2574,2576,2598],{"className":2575},[576],[573,2577,2579],{"className":2578},[580],[582,2580,2581],{"xmlns":584},[586,2582,2583,2595],{},[589,2584,2585,2587,2589],{},[595,2586,1535],{},[1434,2588,1436],{},[592,2590,2591,2593],{},[1434,2592,1439],{},[595,2594,795],{},[603,2596,2597],{"encoding":605},"10{,}39\\,\\text{cm}^2",[573,2599,2601],{"className":2600,"ariaHidden":611},[610],[573,2602,2604,2607,2610,2616,2619,2622],{"className":2603},[615],[573,2605],{"className":2606,"style":2522},[619],[573,2608,1897],{"className":2609},[624],[573,2611,2613],{"className":2612},[624],[573,2614,1905],{"className":2615},[1904],[573,2617,1909],{"className":2618},[624],[573,2620],{"className":2621,"style":1458},[1076],[573,2623,2625,2631],{"className":2624},[624],[573,2626,2628],{"className":2627},[624,1462],[573,2629,1439],{"className":2630},[624],[573,2632,2634],{"className":2633},[636],[573,2635,2637],{"className":2636},[640],[573,2638,2640],{"className":2639},[644],[573,2641,2643],{"className":2642,"style":1178},[648],[573,2644,2645,2648],{"style":651},[573,2646],{"className":2647,"style":656},[655],[573,2649,2651],{"className":2650},[660,661,662,663],[573,2652,795],{"className":2653},[624,663]," heraus.",[2484,2656,2657],{},"Die Formel auf unregelmäßige Sechsecke anwenden. Sie gilt nur, wenn alle Seiten und alle Winkel gleich sind.",[2484,2659,2660,2661,2664,2665,2746,2747,734],{},"Die Seitenlänge mit dem Abstand zweier gegenüberliegender Seiten (der ",[569,2662,2663],{},"Schlüsselweite",") verwechseln. Diese ist 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