Предмет: Геометрия, автор: Vambir

Радиус основания цилиндра 6 см, а диагональ осевого сечения 13 см. Найти

высоту цилиндра.

Ответы

Автор ответа: ale47026

6+6=12см-диаметр основания, он же катет.
13см-гипотенуза прямоугольного треугольника
Отсюда по теореме Пифвгора, другой катет равен= корень квадратный из разницы квадратов гипотенузы и катера и равно
13*13-12*12=169-144=25, а корень из 25=5 это и есть высота

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