Предмет: Математика, автор: goss12345

Высота правильной четырехугольной пирамиды равна 2 см , а сторона основания – 4 см .Найдите боковое ребро .

Ответы

Автор ответа: Аноним

Так как основание пирамиды - квадрат, то его диагональ будет равна 4√2 см, а половина диагонали = 2√2 см. Эта половина диагонали будет являться катетом прямоугольного треугольника, второй катет которого - высота пирамиды, равная 2 см, а гипотенуза - искомое боковое ребро. Найдем ребро по т. Пифагора: $\sqrt{4+8}= \sqrt{12}=2 \sqrt{3}$ см
Ответ: 2√3 см

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