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Консультация № 146070
05.10.2008, 13:35
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Основание АВ трапеции ABCD вдвое длиннее основания CD и вдвое длиннее боковой стороны AD. Длина диагонали АС равна а, а длина боковой стороны ВС равна b. Найти площадь трапеции
Основание АВ трапеции ABCD вдвое длиннее основания CD и вдвое длиннее боковой стороны AD. Длина диагонали АС равна а, а длина боковой стороны ВС равна b. Найти площадь трапеции
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Неизвестный
05.10.2008, 15:21
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это ответ
Здравствуйте, Arkalis!
Метод решения приблизительно такой(если вам не надо решить эту задачу через какие то определенные формулы):
Углы DCA,DAC,CAB равны. Обозначим их альфа . Обозначим AB как 2Х и СD=DA=Х , В треугольнике ACD используем теорему синусов, а в треугольнике BCA испоьзуем теорему косинусов для угла CAB. Получим систему из которой можно выразить косинус угла и Х. Ну а дальше дело техники.
Метод решения приблизительно такой(если вам не надо решить эту задачу через какие то определенные формулы):
Углы DCA,DAC,CAB равны. Обозначим их альфа . Обозначим AB как 2Х и СD=DA=Х , В треугольнике ACD используем теорему синусов, а в треугольнике BCA испоьзуем теорему косинусов для угла CAB. Получим систему из которой можно выразить косинус угла и Х. Ну а дальше дело техники.
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