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В треугольнике АВС МN-средняя линия.Площадь треугольника MBN равна 20.Найдите площадь треугольника ABC
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Обозначим высоту треугольника MBN-h. А высоту АВС-Н, по т Фалеса (AC||MN;AM=MB) H=2h. AC=2MN. Если Smbn=1/2hMN=20; Sabc=1/2 H x AC= 1/2(2h)(2MN)=4x 1/2hMN=4 x20= 80
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Автор:
cheyanne - 5 лет назад
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