Предмет: Алгебра, автор: Клейменова

Правильная треугольная пирамида,все ребра равны 6.Найти H пир

Ответы

Автор ответа: Гоша68

в правильной пирамиде вершина проецируется в центр основания. точку пересечения медиан. по теореме о точке пересечения. находим 2/3 lkbys vtlbfys

2/3*6*sin60=2/3*6*sqrt(3)/2=2sqrt(3)

по теореме пифагора находим высоту.

H^2=36-12=24

H=2sqrt(6)

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