Question

По стороне основания равному 6см и боковому ребру равному 5см найдите высоту правильной треугольной пирамиды.

Answer 1

Решение на фото.....

Answer 2

Finding the Height of a Regular Triangular Pyramid

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

Height (h) = √(s^2 - (a/2)^2)

Where: - s is the length of the side of the base - a is the length of one of the base's sides

In this case, the length of the side of the base is given as 6 cm, and the length of one of the base's sides is given as 5 cm.

Substituting these values into the formula, we get:

Height (h) = √(6^2 - (5/2)^2)

Simplifying the equation:

Height (h) = √(36 - 6.25) Height (h) = √29.75 Height (h) ≈ 5.46 cm

Therefore, the height of the regular triangular pyramid is approximately 5.46 cm.