Question

Все боковые рёбра пирамиды равна по 10 см. Высота пирамиды равна 6 см . Найдите радиус окружности описанной около основания пирамиды

Answer 1

Вроди как 5сантиметров но я не уверен

Answer 2

Calculating the Radius of the Circumscribed Circle

To find the radius of the circle circumscribed around the base of the pyramid, we can use the formula:

Radius of circumscribed circle (R) = (1/2) * √(a^2 + h^2)

Where: - a = side length of the base of the pyramid - h = height of the pyramid

Given: - All lateral edges of the pyramid are equal to 10 cm. - The height of the pyramid is 6 cm.

Using the given information, we can calculate the radius of the circumscribed circle.

Calculations: - Substitute the values of a and h into the formula: - a = 10 cm (as all lateral edges are equal) - h = 6 cm

Radius of circumscribed circle (R) = (1/2) * √(10^2 + 6^2) Radius of circumscribed circle (R) = (1/2) * √(100 + 36) Radius of circumscribed circle (R) = (1/2) * √136 Radius of circumscribed circle (R) = 0.5 * 11.66 Radius of circumscribed circle (R) ≈ 5.83 cm

So, the radius of the circle circumscribed around the base of the pyramid is approximately 5.83 cm.