Предмет: Геометрия, автор: TantumWerde

Помогите с задачей! В прямой треугольной призме стороны основания равны 25 см, 29 см, 36 см, а боковое ребро равно меньшей высоте основания. Найти объем призмы.

Ответы

Автор ответа: bus171

По формуле Герона вычислим площадь основания:

Р= (25+29+36)/2=45 cм

S=√45(45-25)(45-29)(45-36)=√45*20*16*9=360 см²

Меньшая высота основания перпендикулярна большей стороне.

По формуле площади треугольника находим

h= 360/36=10 cм.

Объем призмы 360 см²*10 см =3600 см³.

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