Question

В правильной треугольной пирамиде высота 3 см, боковые ребра 5 см.Найти сторону основания.

Answer 1

Т.к. пирамида правильная ⇒ расстояние от основания высоты до вершины основания = радиус описанной окружности около основания пирамиды. т.е = √(5²-3²)=4см, сторона основания пирамиды = R√3= 4√3см

Answer 2

Finding the Side Length of the Base of a Right Triangular Pyramid

To find the side length of the base of a right triangular pyramid, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, we are given that the height of the pyramid is 3 cm and the length of the two other sides (the bokovye rebra) is 5 cm. Let's denote the side length of the base as x.

Using the Pythagorean theorem, we can set up the following equation:

x^2 = 5^2 - 3^2

Simplifying the equation, we have:

x^2 = 25 - 9 x^2 = 16

Taking the square root of both sides, we find:

x = 4

Therefore, the side length of the base of the right triangular pyramid is 4 cm.