[size=100][size=150]Pytagoras var en gresk matematiker, filosof og astronom. Som matematiker så han blant annet på egenskaper ved rettvinkla trekanter. Han oppdaget etter hvert en spennende sammenheng mellom lengdene av sidene til slike trekanter.[b] Denne sammenhengen skal du forske på nå![/b][/size][/size]
[size=100]Nedenfor er et bilde av en gul rettvinkla trekant i midten. På sidene til trekanten er det laget tre kvadrater.[br][/size]Dra i gliderne i bildet under og se hva som skjer.[br][br][br]
Figuren består av en rettvinkla trekant ABC. Ut fra sidene i trekanten er det tegnet tre [b]kvadrater. [/b](Areal1, Areal 2 og Areal 3).[br][br]Dra i punktene A, B og C og se hvordan figuren og arealverdiene forandrer seg. Se også verdiene på regnearket.
Etter at du har sett videoen og de to animasjonene - Kan du si noe om sammenhengen mellom størrelsen på arealene av de tre kvadratene?
Hvordan kan du regne ut hvor lange sidene er i et kvadrat når du vet arealet?
Arealet av et kvadrat er 64. Hvor lange er sidene?
Figuren viser en rettvinkla trekant ABC med sidene AB = 3 cm og AC= 4 cm. Bruk det du har lært til å finne lengden av BC.[br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAX8AAAGaCAYAAADnzUNWAAAgAElEQVR4Ae2dd5QUdbbH/cfVfW997howe9ZV17Sr7hp3n7ruIiBJdk3PCCqyLAICBkQUCUaSJMUABoJKkCAwDCA5DDPknEFyGpBkwnTfudX0MN1TPdPTU3W7qvvT5/SZme6uutWfW/Wp7m//+jfHCBcIQAACEMg6Asdk3TPmCUMAAhCAgCB/dgIIQAACWUgA+Wdh03nKEIAABJA/+wAEIACBLCSA/LOw6TxlCEAAAsiffQACEIBAFhJA/lnYdJ4yBCAAAeTPPgABCEAgCwkg/yxsOk8ZAhCAAPJnH4AABCCQhQSQfxY2nacMAQhAAPmzD0AAAhDIQgLIPwubzlOGAAQggPzZByAAAQhkIQHkn4VN5ylDAAIQQP7sAxCAAASykADyz8Km85QhAAEIIH/2AQhAAAJZSAD5Z2HTecoQgAAEkD/7AAQgAIEsJID8s7DpPGUIQAACyJ99AAIQgEAWEkD+Pjb9xx9/lEWLFknnzp3ljjvukKuvvlpuuukmadSokfTr10927NjhY3VWDQEIQCAxAeSfmE2F7lm9erU0b95cLr74YqlUqZJcccUVcv3118u1114rZ599tnO94YYbZOjQoaInCS4QgAAELAkgfx9oL1iwQKpXry5nnnmm1KtXT3Jzc2X58uWiJ4RVq1ZJfn6+dOjQwTkBXHLJJTJ27Fj5+eeffdgSVgkBCEDAnQDyd+eS8q27d++W+++/X0466SR56aWXZNOmTfL999/HrO+nn36SwsJC6d69u5xwwglSuXJlWb9+fcxj+AMCEICAnwSQv8d0NcZRodeuXdsRf2mr37Ztm9x5553Odc6cOaU9lPsgAAEIeEoA+XuI89ChQ1K/fn055phjpHfv3mVm+foO4IsvvpANGzaILssFAhCAgBUB5O8haRX5X//6VznnnHOcXN/DVbMqCEAAAp4SQP4e4ly4cKGce+65zogeMnwPwbIqCEDAcwLI30OkeXl5cuyxx8ott9wiu3bt8nDNrAoCEICAtwSQv4c8dYinRj433nijbNmyxcM1syoIQAAC3hJA/h7y1KjnmmuukUsvvVSWLVvm4ZpZFQQgAAFvCSB/D3keOHBAHnzwQTn++ONl+PDhSa15woQJ0rp1a5kxY4bo6B8uEIAABCwIIH8PKau8e/To4Qz1bNq0qXz11Velrl3vf/zxx50vhOnQUL7lWyou7oQABDwkgPw9hKmr0ukbNPPXUT9jxoxJ+GpeRZ+Tk+M87vLLLxf9vIALBCAAASsCyN9j0jqVwyeffCJnnXWWqNTfeOMNZyqH4mX0Ff/AgQOd+/XbwK+//rp8++23xR/C7xCAAAR8JYD8fcC7f/9++fDDD50ZPXVytz//+c9St25dJ+J59NFHnQ+F9Z3Beeed50z3rPP8cIEABCBgSQD5+0T74MGDMnv2bGf2Tp247fzzz5cTTzzRmd5Zp3Zu1aqVTJs2Tfbu3evTFrBaCEAAAokJIP/EbCp8j87Tr6/qdSrn+fPni34JrKCgQFasWCE7d+6UH374ocI1WAEEIACBVAgg/1SosQwEIACBkBNA/iFvIJsPAQhAIBUCyD8VaiwDAQhAIOQEkH/IG8jmQwACEEiFAPJPhRrLQAACEAg5AeQf8gay+RCAAARSIYD8U6HGMhCAAARCTgD5h7yBbD4EIACBVAgg/1SosQwEIACBkBNA/iFvIJsPAQhAIBUCyD8VaiwDAQhAIOQEkH/IG8jmQwACEEiFAPJPhRrLQAACEAg5AeQf8gay+RCAAARSIYD8U6GWwjKFqxbIypF9Zfey/BSWZhEIQAAC3hJA/t7ydF2bCn90w7/LsHuvkFENbpLClfNdH8eNEIAABKwIIH8D0ov7d5YBVU+T/lUqOT/zujQzqEoJCEAAAokJIP/EbDy7Z9XIvjKg2umO/PtXPU1GN7xZNk4b5dn6WREEIACB8hJA/uUllsLjN+flyrD7/xSRf5VTZeRD18uUdvWkcOW8FNbGIhCAAAQqTgD5V5xhmWvYOmeijG16qwy+/SLpf8upMrzutTKuRW2Z2amxfLNnZ5nL8wAIQAACXhNA/l4TdVmfyl9lP/o//5CPap4jwx+4SsY2qyHjnrhNlnzczWUJboIABCDgLwHk7y9fZ+1R+Y99vLqMqHutjKh7jeQ0qSq5zWrKxGf/j/zfoAeUgAAEYgkg/1gevvxVXP5jGlWWmZ2aSE7jKpLTtJqMa15LprR7iPzfF/KsFAIQSEQA+Sci4+HtxeWv0l896gMpeONZ5wSg7wbI/z2EzaogAIGkCCD/pDBV7EHx8l//+RDZs2qhTGn/sOQ0rlqU/y/9uHvFCrE0BCAAgSQJIP8kQVXkYW7y/7pwu2ycPsoZBUT+XxG6LAsBCKRCAPmnQq2cyySS/8FtX8jSQT1d8n+mfygnYh4OAQiUkwDyLyewVB6eSP766n/fFyuloFd8/t+E8f+pgGYZCEAgaQLIP2lUqT+wNPnrCaAo/3eGf9aQ8U/cJks/If9PnThLQgACZRFA/mUR8uD+suTv5P/TiuX/zWtFxv9PH+1BdVYBAQhAoCQB5F+Siee3JCN/J///pEdk+OeR8f9TnfH/5P+eN4QVQgACgvwNdoJk5H80/2/lnAByj4z/n9W5Kfm/QY8oAYFsI4D8DTqerPz1BKD/8WtK+4eOTP8Qzf97GGwlJSAAgWwigPwNul0e+Ufy/8+Ojv8/kv9vIv836BQlIJA9BJC/Qa/LK3/3/P9hKVxF/m/QLkpAICsIIH+DNpdX/k7+v2GFFPRyyf/3Mv+/QcsoAYGMJ4D8DVqcivyL8v925P8GLaIEBLKOAPI3aHmq8k+c/48x2GpKQAACmUwA+Rt0tyLyj+T/3WPH/7fX/H+BwZZTAgIQyFQCyN+gsxWRf8L8v0tT+Yb836B7lIBAZhJA/gZ9raj8nfx/5QLnP35Fpn8+Mv5/EOP/DdpHCQhkJAHkb9BWL+Qfyf9Hxo3/v0c2zSD/N2ghJSCQcQSQv0FLvZL/wW0bRP/bl/4ryLHR+X/I/w06SAkIZB4B5G/QU6/kX5T/93wmdv6fLo+T/xv0kRIQyCQCyN+gm17KP5L/zy+R/y8b1NPgmVACAhDIFALI36CTXstfTwBfTI3L/1uT/xu0khIQyBgCyN+glX7IP5L/d4vL/x9h/L9BPykBgUwggPwNuuiH/PXV/5c6/w/5v0EHKQGBzCOA/A166pf8yf8NmkcJCGQoAeRv0Fg/5R/J/0fEjv/X/H9mjsEzowQEIBBWAsjfoHN+y1/z/yUfx+X/HR6RwtULDZ4dJSAAgTASQP4GXfNb/pH8f3mJ/D+vazP5Zu8ug2dICQhAIGwEkL9Bxyzk7+T/K+aVHP8/uJfBM6QEBCAQNgLI36BjVvJ38v8pJfP/zTPHGjxLSkAAAmEigPwNumUpfyf//6hk/r+H/N+g05SAQHgIIH+DXlnK38n/1y+X/Ljx/+T/Bo2mBARCRAD5GzTLWv56Atjt5P/1pPj8/8sGv2HwbCkBAQiEgQDyN+hSOuTvlv9Pan2PkP8bNJwSEAgBAeRv0KR0yT+S/78eM//PtA71hfzfoOmUgEDACSB/gwalS/5H8/+WMfP/53Vtzvh/g75TAgJBJoD8DbqTTvlH8v+5MqVdXP4/hPzfoPWUgEBgCSB/g9akW/6R/H94zPw/k1rfK5tnMf7foP2UgEAgCSB/g7YEQf7k/waNpgQEQkQA+Rs0Kwjyj+T/yyS/R1z+/3pz+Zb5fwz2AkpAIFgEkL9BP4Iifyf/X14y/19O/m+wF1ACAsEigPwN+hEk+Tv5/2S3/D/XgAQlIACBoBBA/gadCJr8nfx/YNz4/xfry541iwxoUAICEAgCAeRv0IWgyT9x/t+C/N9gf6AEBIJAAPkbdCGI8i/K/9vGjv9fPuRNAyKUgAAE0k0A+Rt0IKjy1xPAhsnDXMb/k/8b7BaUgEBaCSB/A/xBlv/BrRtkycCuR+b/uVXGNa8l0158lPzfYL+gBATSSQD5G9APsvyP5v9Px8z/M7tbC/n2S/7/r8HuQQkIpIUA8jfAHnT5R/L/OTIlPv8fSv5vsHtQAgJpIYD8DbCHQf6u+f9z98rmvHEGhCgBAQhYE0D+BsTDIv+DW9fL4oFdyP8N9glKQCDdBJC/QQfCIn8n/1+n8//E5/9PkP8b7CeUgIAlAeRvQDtM8nfy/2Vu+X9vA1KUgAAErAggfwPSYZO/k/9P+jR2/P9z98oW8n+DvYUSELAhgPwNOIdR/k7+PyAu/39Jx/8vNiBGCQhAwG8CyN9vwiISRvlH8v+lkt/dLf/fbUCNEhCAgJ8EkL+fdI+sO6zyJ/832DkoAYE0EUD+BuDDLP+E+f/s8QbkKAEBCPhFAPn7RbbYesMuf/f8v4HsWUv+X6zN/AqBUBFA/gbtCrv89dX/3nWa/z8VO/9Pdx3/T/5vsAtRAgKeE0D+niMtucJMkL+eAHYtK5ApbetKTpOqktushox/4jZZ/inj/0t2nFsgEHwCyN+gR5kif/f8/z7ZQv5vsBdRAgLeEkD+3vJ0XVsmyT+S/3eOnf/npQayl/zftffcCIGgEkD+Bp3JJPlH8//ZJfL/J8n/DfYlSkDAKwLI3yuSpawn0+Tv5P9LS+b/Kz59qxQK3AUBCASJAPI36EYmyt/J/ycOjZv/R/P/CQZEKQEBCFSUAPKvKMEkls9U+R/Q+f/7x+b/08n/k9gjeAgE0k8A+Rv0IFPlT/5vsPNQAgI+EUD+PoEtvtpMln8k/8+XyXHj/1cMe7s4An6HAAQCRgD5GzQk0+WvJ4D1bvl/Pvm/we5FCQikRAD5p4StfAtlg/zd8/9/y961S8oHi0dDAAImBJC/AeZskL+T/69dIrO7PRkz/09+j6cY/2+wj1ECAuUlgPzLSyyFx2eL/Ivy/xdi5/8h/09hp2ERCPhMAPn7DFhXn03yj+T/Q0qO/yf/N9jTKAGB5Akg/+RZpfzIbJN/JP/vFDP/z/SXyf9T3oFYEAI+EED+PkCNX2W2yT9x/v80+X/8zsHfEEgTAeRvAD4b5e/k/0tmy+QS+f87BsQpAQEIlEUA+ZdFyIP7s1X+Tv7/eVz+//x9sjX/cw+osgoIQKAiBJB/RegluWw2y1/z/0X9Osbl/w2dfwuZJD4eBgEI+EAA+fsANX6V2Sz/hPl/T/L/+P2EvyFgSQD5G9DOdvknzP+Hk/8b7H6UgIArAeTvisXbG5H/dkmY/xeQ/3u7t7E2CCRHAPknx6lCj0L+Efkf2LqO/L9CexILQ8A7AsjfO5YJ14T8I/IvPf8vTMiPOyAAAe8JIH/vmZZYI/I/Kn89Aex0xv8/KDlNqkpusxoy/onbZCX5f4n9hhsg4CcB5O8n3SPrRv6x8o/k/4Nj5/95/n7ZWjDRoBuUgAAElADyN9gPkH9J+R/Y4pL/v8L4f4PdkRIQcAggf4MdAfmXlL+T/69ZLLNffyJ2/v+eLeXbfeT/BrslJbKcAPI32AGQv7v8I/l/nkx+IT7/f9egK5SAQHYTQP4G/Uf+ieWvJ4B1E2Lz/8ma/88h/zfYNSmRxQSQv0HzkX/p8nfy/w9fi53/h/zfYM+kRDYTQP4G3Uf+pcs/Uf5f0Iv832D3pESWEkD+Bo1H/mXL38n/F7vk/yPI/w12UUpkIQHkb9B05J+c/CP5/6CY8f+R/H+SQZcoAYHsIoD8DfqN/JOXv1v+P+OV/8je9csMOkUJCGQPAeRv0Gvkn7z8E+f/zzD+32BfpUT2EED+Br1G/uWTfyT/n1Vy/P+IPgbdogQEsoMA8jfoM/Ivv/wT5f/b5pD/G+yylMgCAsjfoMnIPzX5a/6/MG78v+b/X5L/G+y1lMh0AsjfoMPIPzX566v/PWsWS97rLWLm/ynoRf5vsNtSIsMJIH+DBiP/1OXv5P+LXPL/keT/BrsuJTKYAPI3aC7yr5j8nfx//Cclxv9vmzPZoHuUgEBmEkD+Bn1F/hWXv5P/f/BqzPw/M14l/zfYfSmRoQSQv0FjkX/F5R/J/xdJXte4/P+NVoz/N9iHKZF5BJC/QU+RvzfyL8r/28TO/79qZF+DLlICAplFAPkb9BP5eyd/1/y/zQOybS75v8GuTIkMIoD8DZqJ/L2Vv3v+34jx/wb7MiUyhwDyN+gl8vdW/k7+v5r832DXpUQGE0D+Bs1F/t7LX08AOxbNlMltHpCcJlUlt1kNGf/EbUL+b7BDUyIjCCB/gzYif3/kT/5vsPNSImMJIH+D1iJ//+Tv5P/vvxI3/r+RfLlhuUFnKQGB8BJA/ga9Q/7+yf9o/t88Zv6fOW8+y/h/g32bEuElgPwNeof8/ZV/wvz/s/cMuksJCISTAPI36Bvy91/+Tv4/7uPY+X+c8f9TDDpMCQiEjwDyN+gZ8reR/4Eta2Uh+b/BHk2JTCCA/A26iPxt5B/J/xdKXle3/H+PQacpAYHwEED+Br1C/nbyd/L/hTNKjv8n/zfY0ykRJgLI36BbyN9W/noCWOvk/9Ukp0k1yW1eyzkZbJ831aDblIBAOAggf4M+IX97+Ufy/5djx/+/9hjj/w32d0qEgwDyN+gT8reXf8n8v4aMa1Fb5rzZWr7bR/5vsNtTIuAEkL9Bg5B/euRfMv+vKeOfrCOrPnvfoOuUgECwCSB/g/4g//TJP5L/fyRjm5L/G+zqlAgRAeRv0Czkn175a/6/4H23/H+FQfcpAYFgEkD+Bn1B/umVf1H+3yU6/v9I/t+7tXy3n/zf4BCgRAAJIH+DpiD/9Mvfyf8XTC82/j+S/68eRf5vcAhQIoAEkL9BU5B/MOTv5P+5Lvn/fMb/GxwGlAgYAeRv0BDkHxz5H9i8Vha891LM+P+Zzvh/8n+DQ4ESASKA/A2agfyDI38n/1+1UPK6NDsy/z/5v8EhQIkAEkD+Bk1B/sGSf+L8/wODvYESEAgGAeRv0AfkHzz5R/L/gXHj/x+U7fOnGewRlIBA+gkgf4MeIP9gyt89/28s+74g/zc4LCiRZgLI36AByD+Y8o/m/7NK5P/PMf7f4LigRHoJIH8D/sg/uPLXE8D2BdNlUpv7JadJVcltdmT8/2jyf4NDgxJpJID8DeAj/2DL3zX/f4H83+DQoEQaCSB/A/jIP/jyd83/O5L/GxwelEgTAeRvAB75B1/++uq/cNUCmdU5dvz/3LeeJ/83OEYoYU8A+RswR/7hkH8k/58mk56Pz/8/NNhLKAEBWwLI34A38g+P/PUEsGZs3Ph/zf8XTDfYUygBATsCyN+ANfIPl/yd/L/vi7Hz/zj5/0qDvYUSELAhgPwNOCP/cMn/aP7/eMz8P+T/BgcLJcwIIH8D1Mg/fPJ38v/55P8Ghwcl0kQA+RuAR/7hlH8k/x8QO/8P+b/BEUMJCwLI34Ay8g+v/N3z/yaybyP5v8GhQwkfCSB/H+FGV438wyt/J/9fqeP/4/L/t3X8/95oi/kJgdARQP4GLUP+4ZZ/wvx/DOP/DQ4fSvhEAPn7BLb4apF/+OWfKP/fwfj/4rs6v4eIAPI3aBbyzwz579+8Vub36RA7/r8T+b/BIUQJHwggfx+gxq8S+WeG/CP5/3yX/L8N+X/8Ts/fgSeA/A1ahPwzR/6R/H9qifl/1ozpZ7AnUQIC3hFA/t6xTLgm5J9Z8nfy/5z+MeP/p7xQV3YsnJFwH+AOCASNQFrlv2PHDnn55Zfl448/lu+//z5obDzbHuSfefLfv3lNgvx/lWf7DSuCgJ8E0ib/r7/+Wjp16iQnn3yyNGzYUL755hs/n2da1438M0/+R/P/prHz/7xN/p/Wg43iSRNIi/x/+uknGTVqlJx//vlyzDHHIP/CzJSjCjLTr9vnkf8nbRseGCgCaZH/6tWrpWbNmnLllVdKpUqVkH8WSDKTTwJrXPP/mYE60NkYCMQTMJf/vn37pGXLlnLDDTdIr1695LLLLktZ/l9++aXk5ubKq6++Ko0bN5Y2bdrIwIEDZevWrfLzzz8XPdc5c+Y49+vPQ4cOOe869LG6TM+ePWXlypXO4/UdycKFC53b9L727dvLhAkT5Ntvvy1aVyq/EPtk9juASP7fPmb8/6xOTWXfRvL/VI4XlrEhYCr/H374Qfr37y9XXXWV9OnTxxHtFVdckZL8165dK08//bRcd911ctFFF8nFF18sl1xyiXOtV6+eqOijJwA9IWi8pCeJDh06yE033eRswznnnCNnn3223H333TJ//nwZN26c3HrrrXLjjTfKBRdcIKeffrr85S9/cU4oFflAGvlntvyL8v9Osfn/vHdeYPy/jceokgIBM/mriPPz8+X666+X5s2bS2FhoaxatUpSkf+ePXvkqaeecuR83333Sd++fWXkyJEyaNAgadq0qZx22mny4IMPyvbt2x0kUflrzHT77bdLt27dZMSIEfLJJ5/IPffcI8cee6zceeedouvSE8qQIUNk2LBh0rZtWznrrLOkcuXKsmnTphTwRhZB/pkvfz0BbJs3RSY9f5/kNKkquc1qyvgn64hGQlwgEEQCZvLXYZ0NGjRwRLpkyRKHRaryHzt2rJxxxhlSq1YtWbp0qfz4449FbLds2SL6yv+aa66RmTMjuWtU/r/97W9l6NChRSOL9IQ0ZcoU0XcAv/zlL+X555+XXbt2Fa1Lf7/rrrvk17/+tUyePLno9vL+gvyzQ/56AliT06/k+P9F5P/lPWZ4vP8ETOSvmXmPHj2ciEZfnUcjlFTkf/jwYWndurUcf/zx8tFHH4nm9PEXze31lXv01XpU/nfccYfou4bil23btsnf/vY35xV+Xl5e8buck8pzzz3nREaDBw+Oua88fyD/7JE/+X95jgwem04Cvstf5ZyTk+PEO/ohq35IG72kIv/9+/eLSvy8886TRYsWRVdV6s+o/J955hnRzx2KX/RkUK1aNWf7dHviL/oZgX5eoOtI9YL8s0f+peb/B5j/P9VjiOW8J+C7/NesWSO1a9d2Ihr9kLb4JRX5lyXr4uuP/h6Vv4o8/lLW+pB/dolb5e3Fddtct/x/QPzux98QSBsB3+WvH8aecMIJcvXVVztDK/UD2ej1gQcekFNOOUX+8Ic/SKNGjeS1116LydzdqJQla7dlkL83QvNCitm0jtVj4vL/tnVlB/m/2yHKbWkg4Lv8O3fu7AzD1KGY8Vf9hu9xxx0nJ510kjNcs0qVKhL/7iCeiX5PQEfm6CgcHZ7pdtFx+x07dpRJkyY5wz2RP/JPx0nHyf/fjRv/37mp7Nu02m235TYImBLwXf6LFy92hmHqUMz4a+/evZ3sXsfW6/BK/cLWgQMHSgWgH/g+++yz8otf/ELefffdEh/46mcMb775ppx66qnywQcfIH+PYox0yDMTahaunCf6ha+cxlUk9/EaMq5FbZn3Tlv5jvy/1OOcO/0n4Lv8S3sKqWT+ur6JEyfK7373O+dbwrNmzSr6EFeHbuq7gapVqzpRko760Quv/Hnln84Tyba5k0uO/x9L/l+aG7jPfwKhlL++O9Bv6+q3c/ULWDoNg77a16inevXqTryk0zZEZwpF/sg/nfLX2m75/85Fs/w/wqkAgQQEQil/fS46f49+d0AniNPpHc4991xnniB91a8nAv1SWfSC/JF/uuUfyf/bxc7/0/lx2U/+Hz1M+WlMIK3y1zH/+kUt/WA2fvx9MhwOHjwoBQUF0q9fP+nevbvzU2Mgvb34ReMlvV8fG3/RL6DpVA+6HcW/gxB9nC6jy7p9ByD6mLJ+Ms6fk4+efApXzJOZnZrE5v/vkv+Xdfxwvz8E0ip/f55S8NaK/JF/9J2Hk/8/Fzv/z1ry/+AdtFmwRcjfoMnIH/lH5a8/V4/5MHb+n7Z1Zedi8n+DQ5ESxQgg/2Iw/PoV+SP/4vLfv2mNzH+X/N+v4431JkcA+SfHqUKPQv7Iv7j89ffdmv93jM//28l3B47OfVWhnY6FIVAGAeRfBiAv7kb+yD9e/vq3e/6f+gSCXuyrrCN7CCB/g14jf+TvJn+9bfVot/w/dmpxg12UEllIAPkbNB35I/9E8tf8X6d70Okfxja9VcY1ryWzOjcTvZ0LBPwkgPz9pHtk3cgf+SeSv97ulv/P70P+b3BoZnUJ5G/QfuSP/EuTv963bc4kmRQ//j+X/N/g8MzaEsjfoPXIH/mXJX+9v2T+X092Lib/NzhEs7IE8jdoO/JH/snI3zX/79JMdF4gLhDwmgDy95qoy/qQP/JPRv76mN0r5srMjo1j5v+Z36c94/9djituqhgB5F8xfkktjfyRf7Ly18e55/8fJbWv8SAIJEsA+SdLqgKPQ/7Ivzzy18euGvVB3Pw/9WTnktkV2AtZFAKxBJB/LA9f/kL+yL+88td5/ue9/ULs+H/yf1+Oz2xdKfI36DzyR/7llb8+fvdy8n+DwzNrSyB/g9Yjf+Sfivx1ma3O+P97JadJVcltVlPGP1lH1uaS/xscthlfAvkbtBj5I/9U5a/LrRr1fmz+366e7CL/NzhyM7sE8jfoL/JH/hWRv1v+n0f+b3DkZnYJ5G/QX+SP/Csif13WNf/vy/h/g8M3Y0sgf4PWIn/kX1H56/JbCybKpOdi8/914z422IMpkYkEkL9BV5E/8vdC/roO9/w/32AvpkSmEUD+Bh1F/sjfK/m75//NZf/mtQZ7MiUyiQDyN+gm8kf+Xslf1+Pk/6895nwBLPfxGjKuRW2Z37cD8/8YHMuZVAL5G3QT+SN/L+Wv6yL/NzhwM7wE8jdoMPJH/l7LX9fnmv8vJf83OKQzogTyN2gj8kf+fshf8/+5b7dx4p/o///N60r+b3BIZ0QJ5G/QRuSP/P2Qv65z9/I5MiMu/1/w3oty+OCXBns2JcJMAPkbdA/5I3+/5K/r3VrwuUyMH/8//hODPZsSYSaA/A26h/yRv5/y13Wv+uy9uPl/HpJd5P8GR3d4SyB/g94hf+Tvt/yd/P+tkvn/gctEgKEAABc9SURBVC2M/zc4xENZAvkbtA35I3+/5a/r370sUf6/z2Avp0TYCCB/g44hf+RvIX+tsTX/c5nYOm7+H/J/g6M8fCWQv0HPkD/yt5K/1nHP/wsM9nRKhIkA8jfoFvJH/pbyj+T/z8eN/28hB7asM9jbKREWAsjfoFPIH/lbyl9rOfn/q42cE0B0/p8F770khw+S/xsc8qEogfwN2oT8kb+1/LWee/4/yGCPp0QYCCB/gy4hf+SfDvlrzfj8f2q7h2TXMvJ/g8M+8CWQv0GLkD/yT5f8nfy/d1z+/zr5v8FhH/gSyN+gRcgf+adL/lp397ICmRGf/79P/m9w6Ae6BPI3aA/yR/7plL/W3pI/QSa2vkdymlSV3GY1ZfyTdWTdBPJ/g8M/sCWQv0FrkD/yT7f8tf7KkX1j5v/R/F9HBXHJTgLI36DvyB/5B0H++zeulrm9n4sd///6E4z/N3BAEEsgf4OuIH/kHwT56zboSB/yf4ODPgQlkL9Bk5A/8g+K/HU7tswumf+vJ/83MEGwSiB/g34gf+QfJPnrtqwc2adk/r+c/N9AB4EpgfwNWoH8kX/Q5L9/46oS+f9szf+3Mv+PgRICUQL5G7QB+SP/oMlft8c9/3+Z+X8MnBCEEsjfoAvIH/kHUf66TVtmjy8x/n/9hMEGRwUl0k0A+Rt0APkj/6DKX7dr5Yi4/L/9w7J7+VyDI4MS6SSA/A3oI3/kH2T5a/4/583Y8f+R/H+9wdFBiXQRQP4G5JE/8g+y/HXbIvn/f2Lm/1/4Afm/gR7SVgL5G6BH/sg/6PLX7XPN/z8fYnCEUCIdBJC/AXXkj/zDIH/dRvJ/AyEEpATyN2gE8kf+YZF/JP9vHTP/z+xuOv6f/N9AFaYlkL8BbuSP/MMif93OXUvzZcYr8fn/K4z/N3CFZQnkb0Ab+SP/MMlft3VL3riS4//J/w1sYVcC+RuwRv7IP2zy1+1dOeLd2Pl/dPz/inkGRwwlLAggfwPKyB/5h1H+7vn/k+T/Bs6wKIH8DSgjf+QfRvnrNmv+P/2VhnHj/8n/DbThewnk7ztiEeSP/MMqf93uzZr/P/t/Mf//dz35v4E5/C2B/P3l66wd+SP/MMtft33F8HdlbJNqktOkmuQ2ryVTyf8NzOFvCeTvL1/kX4j4wy5+3f59Ov/PG8/Gjf8n/zfQh28lkL9vaI+umFf+nAAy4QRQlP83qSq5zWrIuBa1ZeGHr8rhQ/uP7uz8FhoCyN+gVcgf+WeC/PU5HM3/Nf6pKeOfrCMbJg41OIoo4TUB5O81UZf1IX/knyny1+dRlP83PZr/FzL+3+XID/ZNyN+gP8gf+WeS/GPy/8erO/HP7G5PycFtGwyOJkp4RQD5e0WylPUgf+SfSfLX50L+X8oBH5K7kL9Bo5A/8s80+evz2Twr1xn/r0NAyf8NROJxCeTvMVC31SF/5J+J8tfntGL4O874/7FNq8m4I+P/C1fOdzsMuC1gBJC/QUOQP/LPVPlH8v9WkfH/0fy/O/m/gVYqXAL5Vxhh2StA/sg/U+Wvz2vXktky/eWGR6Z/iI7/f43x/2WrIa2PQP4G+JE/8s9k+etzc8//PzU4uiiRKgHknyq5ciyH/JF/pstfn9+KYW/H5f+PSOHKBeU4UnioJQHkb0Ab+SP/bJC/5v8Fvdzy/y8MjjJKlJcA8i8vsRQej/yRfzbIX59jJP//d0z+v6gf+X8K2vB9EeTvO2Lm888W8fE8Iyd51/x/Evm/gWrKVQL5lwtXag/mlT+v/LPtxFAi/+/wiBSuIv9PzSD+LIX8/eEas1bkj/yzTf77Nq4skf/n6/j/7eT/MXJI4x/I3wA+8kf+2SZ/fb7u+X9Hxv8bOCeZEsg/GUoVfAzyR/7ZKH99zptnjS05/8+kYRU8oljcCwLI3wuKZawD+SP/bJW/Pm/y/zIEkaa7kb8BeOSP/LNZ/vu+0Pz/mZj5f/K7P03+b+Ce0kog/9LoeHQf8kf+2Sx/fe47nfl/4sf/k/97pJiUVoP8U8JWvoWQP/LPdvnr8980M0cmPnu3MwVEdP7/LyaT/5fPJt49Gvl7xzLhmpA/8kf+kX1g+advxc7/0+ER2bNqYcJjhzv8I4D8/WNbtGbkj/yRf2QfcPL/nnH5fw/y/yJZGP6C/A1gI3/kj/yP7gM7l+TJ9Jfj8v/+5P8GKoopgfxjcPjzB/I/euAjQVjoPuCe/w/35wBkra4EkL8rFm9vRP4Ij5NeyX3ANf9fTf7vrX0Srw35J2bj2T0q/7HNa8roJlVlVKN/yPKx/WX3tnVpuR7YtVkQUUkRwcSeSST/bxk7/t/J/zd6duyxosQEkH9iNp7ds2bGKOlX/1rp8+Dl8s4Dl8k7vR+Td8Z1S8O1u4zK+0Q4AdiLjpOLO/Odi/Nk+ksNYuf/799JDh864Nnxx4rcCSB/dy6e3jojp4+8esfZ0qFOJWlf51Sp2/LPUr3rLWm4VpG6b98j2zav4NV/obuMkLQ9l00zcmRiq/jx/+T/nkrIZWXI3wWK1zeNGdZFOvzzNEf87W47RR546kqp2vnv5tdbu9wiNbpWkXXrFyB/5B+ofSA+/5+m4/9XL/L6UGR9xQgg/2Iw/Pp11NBORfJvW/tkada2sjR87yGz632975TKHf8mt3ap7Mh/zbr5gTrwebVt/2o7aMzd8/+WcnA7+b9fXkL+fpEttt54+Xfv8bCMnj3I7Nrq4xbIn1f6gT/ha/4/LS7/XzygM/l/MZd4+Svy95JmgnXFy//d3o/J+g0Lza5tBj+N/JF/4OWv70Y2zRgjn8fn/1NGJDiyuLkiBJB/RegluSzyJ9YIWswS5O1ZPrR3zPw/0zrUJ/9P0jXleRjyLw+tFB+L/JF/kGUbtG3T/D+/x9Ox4/97tpRDO8j/U1SQ62LI3xWLtzcif+QfNMEGfXt2Lp7lmv9//xXj/72yE/L3imQp60H+yD/osg3i9pH/lyIVD+5C/h5ALGsVyB/5B1GuYdgm1/x/DeP/y3JOMvcj/2QoVfAxyB/5h0G0QdxG9/z/GTm0Y1MFj0oWR/4G+wDyR/5BFGtYtsnJ/198NGb+n8UDugj5f8Xkhfwrxi+ppZE/8g+LaIO6nW75/8YpI5M6/niQOwHk787F01uRP/IPqlTDtF3Lh74ZO/7/xfqyd81iT4/VbFoZ8jfoNvJH/mGSbFC31S3/L+hJ/p+qwpB/quTKsRzyR/5BFWrYtss1/x9I/l8OHRU9FPkXofDvF+SP/MMm2SBv76bpo0vM/7NxKvl/eQ2G/MtLLIXHI3/kH2SZhnHblg1xy/+XpHB0Zu8iyN+g98gf+YdRsEHe5n1frJD87k/FzP9D/l8+mSH/8vFK6dHIH/kHWaRh3badi2bJtPjx/+T/STsK+SeNKvUHIn/kH1bBBn27Nzr5/13OENDc5jVl/JN1ZOPUz1I/WLNoSeRv0Gzkj/yDLtEwb9+yIW+UHP+/lvy/LLUh/7IIeXA/8kf+YZZr0LfdNf/v9Ywc2sn8P6XpC/mXRsej+5A/8g+6QMO+fTsXzZRpL9aPnf9nYFfm/ynFYci/FDhe3YX8kX/Y5RqG7d84bZR83iou/59G/p/IY8g/ERkPb0f+yD8M8syEbST/T15cyD95Vik/Evkj/0wQaxieQyT/fzJ2/H+vVnJo5+aUj99MXRD5G3QW+SP/MIgzU7Zxh0v+v+Qj8v941SH/eCI+/I38kX+miDUsz8M9/x/lw9Ed3lUif4PeIX/kHxZpZtJ2LhscP/7/Udm7dqnBER+OEsjfoE8q/5duqyQv1TpJOtT4jbzV8X6ZNvUjs2ubdxtI7bbXy786/K/c8eKNsrRgrBSumMcVBhm9D2ydM1GmtntIRj16o4xu+HfJeewWyevSTPZtWG5w1Ae/BPI36NHIAe2lc5X/kS6V/1s6/+O/pWv9K6R7q6pm1xcev1Yeq3++NHn0Qnm8we9lUvcWMu+dtlxhkPH7wPSXG8in914hg2+/SIbceYkMuetS0du+2rXF4MgPdgnkb9Cf4b2aSc8bjpOeN/xCevzvL+SVav8j7W47xfza/rZTpH2dU2V4w5slp0k1rjDIin1gxEPXycBbz5L+VSrJgKqnyYBqp8uanAEGR36wSyB/g/7kvtdGeh2Rv54AXq3xG2lfp1Jarq/cfpZ81riK5DaryRUGWbMPfHrfn6R/1dOOnABOl+VDexsc+cEugfwN+rN+2SwZ1KyqvFf3Snmv/jXy9lNV5M2W1cyvb7WqLoM63Cf5vVvL3LfacIVB1uwDBb1ayYSn75AxjSo7nwPs27DC4MgPdgnkb9Sf9UtnysJJn8jCGSNk8YIJabkuWzhJNq+eK/s2reYKg6zbB3YtzZdNM8bIgc1rjI76YJdB/sHuD1sHAQhAwBcCyN8XrKwUAhCAQLAJIP8k+nPgwAEZOnSo9OrVS/Lz8+Xnn39OYikeAgEIZCKBOXPmOC5QH7hd1RVz586VgwcPBvrpI/8k2jN9+nS58MIL5Ze//KXUq1dP9u3bl8RSPAQCEMhEAh06dJBjjjkm4fW3v/2t1KpVyzkxbNu2LbAIkH8Zrfn++++lffv2og294YYbnJ96MuACAQhkJ4Go/KtUqSJNmjSJuTZu3Nh5gfinP/1JTjvtNOcE8N133wUSFPIvoy2bNm2Sm2++WWrXri29e/eW3/zmN/L8889LUBtaxtPhbghAoIIEovIfOHBgiTVpJPzll1+K3nfOOefIddddJxs2bCjxuCDcgPxL6YI2cvDgwXLiiSdKu3btZN26dc6J4JprrpHVq1eXsiR3QQACmUqgNPlHn/PevXvljjvukOOPP17y8vKiNwfqJ/IvpR2HDh2SBg0aOG/fJk6cKIcPH3ZOAtrQPn36yI8//ljK0twFAQhkIoFk5K+fC95zzz1OUqAf/gbxgvxL6cqCBQvk4osvljp16siuXbucR2ref/rpp8u//vWvottKWQV3QQACGUagNPlrWqCjA3Nychx3qCe2bt0aSALIP0Fb9IPerl27yrHHHivdu3eXH374wXnknj175O6773ZOALm5uQmW5mYIQCBTCUTl/9BDD8mbb74Zc33jjTecASI1a9aUf/zjHzJ27Fj56aefAokC+Sdoy44dO6R69erOEM+FCxcWPUob2bdvX/mv//ovadasmXz11VdF9/ELBCCQ+QSi8i9tuOcJJ5wgTZs2lRUrViD/sO0S+qpe4x3N/DX7L35ZtWqVXHnllc7bOo2GuEAAAtlDICr/W265RR577LGYa6NGjeSRRx6Rv//973LBBRdIw4YNRX0RxAuv/F26oq/m9VW9ntn1E/v4t3adO3eWK664wrlfoyGNiLhAAALZQSAq/0RDPdUfs2bNcuJhHRyiIwW//fbbwMFB/i4tWb58ufzxj3+UX//6185YXR2vG38966yz5LjjjpPKlSvL5s2bXdbCTRCAQCYSKE3+0eerH/yOHz9eTj75ZLnppptky5bg/ecw5B/t1pGfOnxTM309Y993333Ss2dP12uXLl3k+uuvd74DMGTIEOb7iePInxDIVALJyF+fu8Y9mhDoNYjRD/KP20N1SOftt99eNLY/7u6iP3X0z+uvv+6MBtJP/ffv3190H79AAAKZSyBZ+c+YMUPOPvts+ctf/iIbN24MHBDkH9eSSZMmOR/06nQO0bH9cQ8p+nP+/Ply/vnny3nnnSfaaC62BPRd2vr1650x1e+995588MEHMmHCBNHJtPRtNxcI+EGgLPnrC8M1a9ZIixYtnM8F3QaN+LFd5V0n8i9GTOfreeGFF5yGdezYsWhsf7GHxPyqr/b1k339YFiXY76fGDy+/qEH2NSpU+Xf//63M/JKJ97TE7FGcXrQ6dTb0e9m+LohrDzrCETl//DDD8tbb71V4tqjRw/R+3RiN/3sULP/IL4YQf7Fdl19Fanz9uhbtdmzZxe7x/1XbWh07h9dTs/2XGwI6Hcv9Es0Kv1HH31U9DMYvepBd+6558ptt90WyJzVhg5V/CQQlX+icf6nnHKKXHTRRc4+OGjQoMC+KET+xfYSnbhNh3jqN3qTzfD1q9v6ql+XW7lyZbG18atfBL755ht59tlnnS/a6XTbxf+/QmFhobRq1cr5wF6/bcn8S351IXvXq1M3/Oc//0l4ffnll6Vfv37O5I9B/Xavdg/5Z+8+HNpnvn37dmdupUSzq06ePNmJ4jSS+/rrr5N+nnqi0GG7n3/+uXz44Yfy9ttvy6hRo0SH/haPkHTMtgpAr/q7vgAYPXq08/iPPvpI9D89Rcd16xcEdVZHvf399993IoCdO3cmvU08EAJ+EUD+fpFlvb4R0PmV9MNdveq7gPiLiljfkuvnAcnKX+U+bdo05yv5V111lfMh/plnnulktjrkV08C0Vpav1q1as53PMaNGyfNmzd3/tGPPl6vNWrUkOHDh4tKXj+I/uc//ymXX365kwHrN8NffPFF0elDuEAgnQSQfzrpU9tTAvqB++LFi6V+/fpSqVIl5613sm+7582b53yGoJ8X3HvvvfLaa685E/vpf2q69NJLnbHaOhJMP+eJyl+/vq+fLdx6662O0PXb3jqyQ08A+sFz27Zt5c4775Snn35aunXrJs8995xcffXVzhd/Pv7440B+COhpQ1hZoAkg/0C3h41LhoBm/vpPs/V7F3fddZdccsklzmcCGg8lc9Gv4+urd/1Gt36GoJ8bRC8a32j8o9/obtmypfPhXVT++u5CZ29csmRJkcj1n3g8+OCDzmcO+mr/008/LfrAT99daJykkwLqnDDRaChai58QsCSA/C1pU8sXAsuWLXNeaaugf/WrXzlRjQq7rO9pRDdGP6j//e9/77zyd/syjp4M9JW7vlpXYReX/4ABA4rEH12ffitcTwz6LiA+dtJ3Jr/73e+c/xGh/+6PCwTSRQD5p4s8dT0joP9nWUdoqaCfeuop5/+mXnjhhc47gWRGbekHtyrrJ554IqlJ+qLy13lbNC6Kv+iEX7o+HRIYf4l+5V8/M9D1cIFAuggg/3SRp64vBDT313+godm6fvNa//1mWZfSZO22bFT+ieZsKW19yN+NKLelgwDyTwd1avpKQLN1HVGjr771Z1kf+pYma7cNRf5uVLgtbASQf9g6xvaKxjw69FL/MXair81rFq/yf+aZZ2LG6LvhGzZsWKmP1f/XoFNJ6Nf0NUZC/m4UuS1sBJB/2DrG9sqUKVOcWCfRbKqHDx+WV1991RG6zrOS6AQRRVlQUOCMwa9Tp47r+HudKE7H7uv9euJB/lFy/AwzAeQf5u5l6bbriBz9F3qa6euXqYoPmdTf9VW6TqOr8/7of1Qq66Iyf+CBB+SMM85w/pfDwYMHixbRL3bpuwi9Tz8Q1tE7yL8ID7+EmADyD3HzsnXTNdPXuVNU/vpfknQOH/1Wr171dx1Jo8M+9dV/cZEn4qXvDPR/Nl922WXON3F1gjhdl44C0vXpiUS/mRudthv5JyLJ7WEigPzD1C22tYjAgQMHpFevXnLzzTc7/yhbv4WrV/3Wrd7WqVMnZ3qFogXK+EVHCen8O3ri0BkZdV06Ha/+XrVqVedLZNEpu5F/GTC5OxQEkH8o2sRGuhFQGeu8/Tq+X6dh0Kv+rrdFRe22XKLb9B3F0qVLnVf7xdenX8zS+6IXnaxN6+g/5nabo0fr6zTT+u4h/qKP1+V0eV0PFwikiwDyTxd56kIAAhBIIwHkn0b4lIYABCCQLgLIP13kqQsBCEAgjQSQfxrhUxoCEIBAuggg/3SRpy4EIACBNBJA/mmET2kIQAAC6SKA/NNFnroQgAAE0kgA+acRPqUhAAEIpIsA8k8XeepCAAIQSCMB5J9G+JSGAAQgkC4CyD9d5KkLAQhAII0EkH8a4VMaAhCAQLoIIP90kacuBCAAgTQSQP5phE9pCEAAAukigPzTRZ66EIAABNJI4P8Be4qlaKj1BlEAAAAASUVORK5CYII=[/img]
Nå skal du gjøre som Pytagoras! Tenk deg at du har en rettvinkla trekant som den på bildet under. Ut fra det du har funnet ut til nå: Sett opp den matematiske sammenhengen mellom sidene i en rettvinkla trekant. [br]Bruk bokstavene a, b og c.[br][img]https://www.matematikk.org/aim/matematikk/files/2/9/7/244d2c6ea5442bd4b7c09d7987d4d518d23add8de3/297244d2c6ea5442bd4b7c09d7987d4d518d23add8de3.gif/Scale?geometry=300x515%3E[/img]
Figuren under viser en rettvinkla trekant med tilhørende halvsirkler. Sjekk om Pythagoras også stemmer ved halvsirkler ved å dra i punktene.