Предмет: Математика, автор: vikipiki161

Радіус основи конуса дорівнює 9 см, а висота конуса 12 см. В конус вписано правильну шестикутну піраміду. Чому дорівнює бічне ребро піраміди ?​

Ответы

Автор ответа: matilda17562
1

Ответ:

15 см.

Пошаговое объяснение:

Боковое ребро правильной пирамиды, вписанной в конус, является образующей конуса.

Высота конуса Н, радиус основания R и образующая конуса l образуют прямоугольный. треугольник с гипотенузой l.

По теореме Пифагора

l² = H² + R² = 12² + 9² = 144 + 81 = 225

l = √225 = 15 (см).

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