Question

Боковая грань правильной четырёхугольной пирамиды - правильный треугольник , высота которого равна 2 корень из 3 см. Вычислить периметр основания пирамиды.помогите пожалуйста!

Answer 1

высота= (А корней из 3)     /2 (А- сторона) => а=4; Р=16

Answer 2

Calculating the Perimeter of the Base of a Pyramid

To calculate the perimeter of the base of a pyramid, we can use the formula for the perimeter of a regular triangle, as the base of the pyramid is a regular triangle.

The formula for the perimeter of a regular triangle is: Perimeter = 3 * side length

Given that the height of the regular triangle (base of the pyramid) is equal to 2√3 cm, we need to find the side length of the regular triangle to calculate the perimeter of the base of the pyramid.

Finding the Side Length of the Regular Triangle

To find the side length of the regular triangle, we can use the formula for the area of an equilateral triangle, which is: Area = (sqrt(3) / 4) * side length^2

Given that the area of the regular triangle is equal to the square root of 3 cm^2, we can solve for the side length using the area formula.

Using the area formula, we can solve for the side length: sqrt(3) = (sqrt(3) / 4) * side length^2

Solving for the side length: side length = 2 cm

Calculating the Perimeter of the Base of the Pyramid

Now that we have found the side length of the regular triangle (base of the pyramid) to be 2 cm, we can calculate the perimeter of the base of the pyramid using the formula for the perimeter of a regular triangle: Perimeter = 3 * side length

Substituting the value of the side length: Perimeter = 3 * 2 = 6 cm

Therefore, the perimeter of the base of the pyramid is 6 cm.