Предмет: Геометрия, автор: sansahaste

Укажите градусную меру наибольшего угла треугольника со сторонами 12, 9 и 15

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Автор ответа: OblivionFire

Больший угол лежит против большей стороны, поэтому в данном ∆ большем будет угол, лежащий напротив стороны 15. По т. Пифагора: c²=a²+b²; 15²=9²+12²; 225=81+144; 225=225. Сумма квадратов двух сторон равна квадрату третьей, значит, данный ∆ является прямоугольным, и большим углом является угол прямой угол 90°.

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