Визуализация теоремы синусов.

Задание 1. Изучите рабочий лист.
Задание 2. Выполните построение апплета 1 "Визуализация теоремы синусов"
Задание 3. Выполните построение апплета 2 "Визуализация теоремы синусов"
Задание 4.
[size=100]Найдите сторону треугольника, лежащую против угла в 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ariDpcOlNTAwfvAuNCsoaVBtbYw2AOLEqM7Eat9/NL+i9GdiOvQkgPQMBRfx8X8spkbZ9oKZPoeCbTYniO7XMWWmV1KIs58vPPOO3LbbSzOSGWsra2VGTNm+PnFli9fLqdPn+5QgevKzitHrWGo+wXQMBhED/DAEd2KCA+8Jlhc81D9wPip/kyg6dJ33pG1n/PKrEOOd+3aJbfffjth1kGZjgHBlqBasGCBNDQ0dKiIU12x8vs77iadDE0CgcaJ1R2fIzuGEGZ2LJUo8rRt2za55557FMjYMgstXGtrq9qaxbwEFVpme/fuJcR+Sw00kgGmWL8jEGicWB362bLLGcLMLiURQz6wGgVaZE8++SRhFkI/dGkFbs2il6Bqa2sjyAiykDZAoIV4qGwaTJjZtGAiyRZaYkOHDlXDm/E+1paZvjbY0ZwPff6OO+5QDnzzOczPuvvuu20F1VBLUHlpqH2sLRNed7O1SqCZn3J7vyfM7F0+YXOHB02/NGj052iO+tpgR3M65vMbNmwwn1KjAs3n/U4m+UOwJahKSkpcuwQVwZPYblICLckPcIxfR5jFKJzdLtMgiTZfGIWGa++66+bSQvr6YOnpsAceeECGDx+uo6ojWogPPfRQSltmGDkXuAQVNs1EZeTVofYEnTWgI9D8HndbfiDMbFks0WdKgybaK9GKwbUPPvig36XB0tNhvXv3locfftgvPgCXk5OTEpiZt2bB0lOY9OylJagILGuA1ZmOBJrfI2+7D4SZ7Yoktgxp0ER7NboLcW2PHj38Lg2Wng6bP3++uubAgQPqmm+++UZ9Xr16ddJhdvTo0Q5bs3htCarOKmGetw52BJpfNWGrD4SZrYoj9sxo0ESbQlFRkQIQRviZX8HS02EaXu+//766JD8/X42qbG9vTxrMsAQVJjljRKdujXl1CSrCyjpYRaIlgWauKezznjCzT1nElRMNmmgT6datmwIQtjYxv4Klp8PQrXfnnXfK3/72N3XJY489pqYH4IOOY07LyvdYmHbLli0CgGqIeWFrlkgqWcZJHtQINCufamvSIsys0THlqcQCEQxRxzy1v/zlLx3yHyw9c1iXLl3UtViMF+HYMgUvc5wOicYZgCWo0PrSEMNx1apVcvbs2ZBzhVjBJ6+C95rWBFqcD7TFlxNmFguaquRigYgesLF27doO2Q6WnjkM8MJnPWEbDzZe5jgdEo0xAEtNzZ07169LceHChVyCihOeU/4jhkCL8aFOwGWEWQJETUWS0UJEx4/0iHvScfFeDxxB2J/+9Cfjls1xjMAY32i/mHkJKrTMsAQVh9qzxWWXliCBFuMDbvFlhJnFgqYquWghouNHesR96bh4j/lpenFjDNXXL3McHRbtEX6xwPliU6ZMkR07dhBibI2lvDUWDKIEWrRPufXxCTPrNXVEipFCJ9J4Vt30l19+qfxiGKWo54uhG5R+MbbEgkHETmEEmlW1QGzpEGax6eb4qyKFVKTx4hUE88VKS0uVXwwQwx+WoML2G3aqsJgXQjWcDRBo8dYEsV9PmMWunaOvxNB6/HX2ijReZ+mEOq/9Yub5YuhSxFQB+sUIjnDgsOs5Ai3U057YcMIssfoy9RAKYB3FyspKMQ/uwHsMLGGXIiFmV1BFmi8CLcSDn8BgwiyB4jLp4ArU1NSoeWl6vtj48eOloqJCsE5kpJUF4xF4drcBAi3485+oUMIsUcoy3Q4KYJK29otpkMEvBn+Z3Ssm5o/wjMUGCLQO1UDCAgizhEnLhLUC586dU+somrsUsTULWmj0ixESsUDCSdcQaLomSOyRMEusvp5OHfPFqqqqVJeieag9lqA6ffo0W2OcM+YZGyDQEl8VEmaJ19iT31BXVycFBQXGUHv4xbAE1YkTJzxTgTmp9cC8Jr6FTKAltiokzBKrr+dS//nnn6W8vNyAGOaLYQmqb7/9lhBjS8zzNhAINMyj5MsaBQgza3T0fCrwi61YscJvqD22Ztm6datgnzP+8k/8L39q7AyNA4GGgVF8xa8AYRa/hp5OAXubVVdXq/3FzH4x7DpNv5gzKldCMPnlRKBZX20SZtZr6pkU4RcrLCw0uhThF+MSVMmvGAkjZ2pOoFlbVRJm1urpidQwubmsrMyAGPxiXILKmRUqQZjaciPQrKsyCTPrtHR9SliCKnBrFkx+RhiXoEptpUgoOVd/As2aqpMws0ZHV6ei/WLYXVqv3IEuxaVLlwqc16xInVuRsuzsUXYEWvxVKGEWv4auTgFLTQX6xTDU/uDBg4QYh9rTBiy0AQItvqqUMItPP9deja1ZlixZovxiujWGofabN2+WtrY2VmIWVmJsHdmjdWSHciDQYq9SCbPYtXPllfCLbdq0yW++GGDGrVlY4dqhsvdCHgKBxonVkVW1hFlkOrk+FvxitbW1MmPGDD+/GFpn3O2ZIPMCROx0j4FA48TqzqtgwqxzjVwfA+slFhcX+3Upwk9WX1/P7kR2J9IGUmQDBFp0VS9hFp1erord2tqqtmbByh3aL5aXl6f8YlyCiq0xO7VUvJoXAi3yKpcwi1wr18S8evWq2polPz/fgBiG2i9fvpy7PafoV7hXK2ved+c/mgi0yKpewiwynVwTK9gSVNia5fDhw+xOIshoAza1AQKt8yqYMOtcI1fEwCCOwCWoZs6cSb+YTSsvtlg6b7F4TSMCLXxVTJiF18fxZ7E1C3Z2njRpktGlqP1iFy5c4C9xwow24CAbINBCV8mEWWhtHH3GvASV3poFfrGKigr6xRxUeXmt9cH77bxFSqAFr5oJs+C6ODo02BJUGHqPcFYWnVcW1Iga2d0GCLSOVTRh1lETx4YEW4IKfrGamhphlyIraLtX0MxfdDZKoPlX1YSZvx6O/BRsaxb4xbZv3y6cLxZdBcEKlXo5yQYItFtVNmF2SwtHvkOrK3BrFvjFmpqa2KVI3xhtwAM2QKDdrLoJM0ciTOTnn3+W+fPnG0tQYXAH/GLcmoUtCye1LJhXa+yVQBMhzBwGMwy1x0od5qH2U6ZMERgzKwZrKgbqSB2daANeBxph5hCYYQmq6upqwRJUeqg99hfbuHGjYOCHEx8+5pnQoA1YawNeBhph5gCYHTp0SAoKCgyI6XUUT58+TYh5wCfCCt/aCt/tenoVaISZjWEW6BebMGGClJSUcB1FAow/YmgDYW3Ai0AjzGwIM/jF1q1b5+cXw6aZMFDOF+OvdLe3LHh/1ti414BGmNkIZvCLffnll35D7THQo7KyUtra2sL+EmMFYE0FQB2po5tswEtAI8xsArNgfjHMF8N26W56uHgvhAVtILk24BWgEWYphllzc7MsWbLEmC8Gv1hhYSHni9Enwh8xtAHLbMALQCPMUgQzLEFVVVUlGF4/ceJEAcTwfufOnfSLsRKzrBJjKyi5rSA76+12oBFmKYBZbW2tYECHni8GmK1fv17Onj3LSowgow3QBhJmA4FAw6a9bnkRZkksyRMnTsjChQv9uhQXLVpEvxgrr4RVXnZuKTBvqWk1BgINfnk3vAizJJRia2urWoIKLTHdpfjBBx9IfX09KzGCjDZAG0i6DbgRaIRZAmGGofbwi2EJKg0x+MU2b95MvxgrsKRXYGwJpaYlZFfd3QY0wixBMINfDKMSzX4xLBDMJahYodi1cmO+vGebbgIaYWYxzOBQDfSLLViwQBoaGvhLnK0x2gBtwHY24BagEWYWwQxLUK1atarDElR79+61nfHyF7j3foGzzFnm4WzADUAjzOKEmfaLYbdn3aXIJahYcYSrOHiO9mFHG3A60AizOGC2b98+P78YtmbhElSsqOxYUTFPtMtIbMDJQCPMYoAZ5mVovxhW7tBbsxw8eJBdivSJ0AZoA462gUCgOWViNWEWBcwuXrwoa9as8fOLTZs2jVuzsPJydOUVyS92xvFWyy4QaE6YWE2YRQCzGzduqK1ZAC49XwzHtWvXcgkqgowgow240gacBjTCrBOYYWuWuXPnGoM74BcrLy8XNL35a9Vbv1ZZ3ixvr9mAk4BGmIWAGbZmAbT0CEX4xbgEFSszr1VmvF/avFOARpgFwAxbs3z++ed+frG8vDzZvn07d3tmdxJb47QBT9qAE4BGmP0BM/jFsARVQUGB4RdDl+Lq1aulpaXFkwbMX+X8VU4boA1oG7A70AgzEbXUlNkvpofacwkqPsj6QeaRtkAb+E2N3MbgN/xhoQg7jXL0NMzQ4lqxYoVfl+L06dNl//79XNWe3UlsjdMGaANBbMCuLTRPwgx+scrKSgUxPcADS1Bha5a2tjYacBAD5q9StkxoA7QBbQN2BJrnYIYNMWfMmGGMUtRLUDU1NRFihBhtgDZAG4jQBuwGNM/ADH27paWlCmJ64nNJSYkcPnyYxhuh8epfZTzyFzptgDYAG7AT0FwPM2zNErgEFfxiKIQLFy4QZAQZbYA2QBuIwwbsAjTXwgxbs1RXV0t+fr7RpYgW2fr16+kXi8Nw+Yucv8hpA7SBQBuwA9BcCbMDBw6o+WJ6cAf8YosWLeJuz4QYf4HTBmgDCbKBVAPNVTDDElTLli3z84vNmTNHALfAXxIY0Xj9+nVj/Q9Mmr58+XKHeLgOca9duya///67io8jPiPcnC4+Ix28cAw8b47L9/x1SxugDbjNBlIJNFfA7MqVK0GXoNq5c2dQvxig1djaKM/Pe17uGnaX+vPN8sk3Dd8IuifNBgYgNbU1ybCPhsl9/7hP7nj1Dnlw7IMyctlIFa6BhePJX0/KEzOeUHFwxGd93pwm37MSow3QBtxqA6kCmqNhhtZPTU2NmLdmQZfiqlWr5PTp035Q0oYDuJw+d1ruH3O/3Db4Nr8/gGrP8T1+LTS0wh6d8qhfPH3dI7mPyPUb19X3IC8AWElViWqZFW8tVp8Rrr+bR1ZgtAHagBdsIBVAcyzMjh8/LoWFhUaXIiCGofYID2cs6B4cs2KMglO3f3aTlvMtcuXaFRn04SAV9tTMp1QXIdJAi29D3QYV/tC4h6TmhxoFqq9//NqA4ZaDWxT8cAIwxAvXBn4OlyeeYwVHG6ANuM0Gkg00x8EMK3TAL4YVO/R8MUAt0iWo0NJ64K0HFKDQ1aj9ZJeuXlJhd752pwEkgG/w0sEqfNlXy4wuSISXbi9V4WNXjlX+M7TAHp/+uKBFhhdaaGipsWXGSsptlRTvhzYdqQ0kE2iOgdmly5fkvYXvyZvj3zSG2k+ePFktQdXe3h62NRYovB7IYfZnnb98XsEJ3Y84j2sAIvjS0K14qOmQ4f8CAOsb61U4ziNeMJ8ZYGn+jsB88DMrBdoAbcDtNpAsoDkCZqu3rJbnX39eMvpkSJf+XWTsuLGyfPnykH6xaIwDXYntv7XLgPIBCk7vV75vtMAAtXtG3qPCr9245gdMdE0Ccjiv4QdwAWx4acBFkxfGZcVGG6ANuNEGkgE0W8Os9kCtDBw/UEEsvXe6+Hr7JGNIhhSuLvQDS6yFD5D95+v/yO1Db1dggi9Ngwlp4oVuR0ALL/P34DPCzd2S5vN8z0qJNkAboA3csoFEA82WMGs+0yxvF78tWf2zxIDY3zMk/e10ebrwaXlu7nNypvWMH1xiMRoMw5+3fZ7ybWGIPqAGoKFVhfQ0sMLBzDzoI5Y88Jpbxk4tqAVtwN02kEig2QpmgEjxv4ul68CuqjWGlpivr09GF46Wb499K5XfVUr6rHTpMqeLfLzn47hhhgcHQFNdglcvSfeS7qq1NX3DdBUOmLFl5u6Hi5Uny5c2kFwbSBTQbAOzjbs3Sq/hvQyIpb2UJi+OeVG++PoL+aH5B+NvQNkAeXr205JTniPnL5y3BGgwZvi7MGADrTCMdkR3YzifGXxoiGv2mfGhSO5DQb2pN23AmTaQCKClHGY/nvpRBk0cJJl9M40uxWdee0bKN5QbADPDbPF/F0vGrAzpOqer1P9UHxPMACm8Akca6m5F7QfDcldZRVkKWubRjLjuSPMRFW6el8YHy5kPFsuN5UYbSL4NWA20lMHs17ZfJX9evmQPyJb0PjcHd2T2zzCYqqYAAAQtSURBVJTc+bly4OSBoCAD1Ooa6iR7TrZkF2VL8ebiqGEGkGFZKrSqGloaDKBhuD2AhXCs7IF4mE82/OPhKmzxrsXGKEd0TeIz4mIeGuLxYUj+w0DNqTltwNk2YCXQkg4z+KfK15RL98HdjS5F+MVefe9V+erIVyEhZm6djV4+WnU1Dlo8KGqImAHVa0EvNSwfLbJTbaeULw6Amrp+qgIXALfp+00KWuh61CuA4KiXw8IKIRgVyYfK2Q8Vy4/lRxtIjQ1YBbSkwqzqqyrpO7qvATH4xV74xwuysnplRBDTQPtX9b8ko/BmV+P/zvwvKpCgixBrMz48/mEFKcDL/PdkwZNy9fqtxYbRQkNLzRxHv39s6mN+Q/n5MKTmYaDu1J024GwbwBq7WNEJf1OnTpXGxkblCormX1JgdrLppIyYOsLPL5Y9OFvmrZknx04diwpkAFr1wWpjVOPG7zZGBTMYPVpcv7T/olbCv3fUvWpIPoCFFtnlq/7bwAB+6I7MWZyjBntg+D6uGVoxVKUR6HfjQ+Xsh4rlx/KjDaTGBuJtoSUUZhd+uyDTFk5TfjGs3qEmPffPkHH/HCf1DfVRQ0y3zA41HjL8ZiVbSqKGGYwVEEKXox4MgmPg9i/aqBEXg0HMcXEtQZYao9flwiP1pw24ywbiAVrCYLZ8w3J5duizt7oUe6dJTn6O7KjbETPENMxw7Leon2TNzpK8NXkxwYwPgbseApYny5M24A4biBVolsNs9/7d8vdxf1cQ06t39BjRQ5ZtXWYJxDTQ3lj2hhoE8lrFa4RZgrZBZ+XgjsqB5chydJoNxAI0y2CGJajGzhwrmf1uzRfLGpQlMz+eKUcaj1gKMgAtf12+ghkmUTutoJhfVi60AdoAbSC8DUQ7KCRumDX90iTD3h4mGb0yJP25dPE95xNfD5/4cnwyqmCUjJ0zNiF/6W+mS8aYDMkamyWVlZX8owa0AdoAbcBlNrBgwQIZMmSI+hs+fLjs3Lkz5ADHuGE2+M3B4sv2SVp22s2//0sT34s+NdhDra2I9RUT+IeBJRMmTOAfNaAN0AZoAy60gWHDhknPnj3VX9++fRMHs6KyIgUzXzefpPdKV74yACZZf90Hdlebdebm5vJIDWgDtAHagAttAK0yAO2tt95KHMyQcktLi7HKfMhv4gkqQAWoABWgAjEqcO7cOWPz42BJxN3NGCxRhlEBKkAFqAAVSKYChFky1eZ3UQEqQAWoQEIUIMwSIisTpQJUgApQgWQqQJglU21+FxWgAlSACiREAcIsIbIyUSpABagAFUimAoRZMtXmd1EBKkAFqEBCFCDMEiIrE6UCVIAKUIFkKkCYJVNtfhcVoAJUgAokRAHCLCGyMlEqQAWoABVIpgKEWTLV5ndRASpABahAQhQgzBIiKxOlAlSAClCBZCrw/0o0PtZoWlmFAAAAAElFTkSuQmCC[/img]
Задание 5.
[math][/math]В треугольнике одна из сторон равна 8[math]\sqrt{3}[/math] см, а противоположный угол равен 60[math]^\circ[/math]. Найдите радиус окружности, описанной около треугольника.[br][img]data:image/png;base64,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[/img]
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Information: Визуализация теоремы синусов.