Question

В правильной четырехугольной пирамиде сторона основания равна 6 см, а боковое ребро-12см. найдите высоту пирамиды

Answer 1

Решение во вложенном файле

Answer 2

Finding the Height of a Pyramid

To find the height of a pyramid, we can use the formula:

height = sqrt(l^2 - (a/2)^2)

Where: - l is the length of the slant height - a is the length of one side of the base

Given: - Side of the base (a) = 6 cm - Slant height (l) = 12 cm

Using the formula, we can calculate the height of the pyramid.

Calculation

height = sqrt(12^2 - (6/2)^2) height = sqrt(144 - 9) height = sqrt(135) height ≈ 11.62 cm

So, the height of the pyramid is approximately 11.62 cm.