Question

У правельній трикутній піраміді сторона основи = 6 см а висота √13.обчислити бічну поверхню піраміди

Answer 1

Высота основания =а√3/2=6/2√3=3√3(см);
высота боковой грани h=√(√13²+√3²)=√13+3=√16=4(см)
Sграни=1/2a·h=1/2·6·4=12(см²)
Sбок=3·Sграни=3·12=36(cм²)

Answer 2

Calculation of the Lateral Surface Area of a Right Triangular Pyramid

To calculate the lateral surface area of a right triangular pyramid, we need to know the length of the base and the height of the pyramid. In this case, the length of the base is given as 6 cm, and the height is given as √13 cm.

The formula to calculate the lateral surface area of a right triangular pyramid is:

Lateral Surface Area = 1/2 * Perimeter of the Base * Slant Height

The perimeter of the base can be calculated by adding up the lengths of all three sides of the base. Since the base is a right triangle, we can use the Pythagorean theorem to find the length of the slant height.

Let's calculate the lateral surface area step by step:

1. Calculate the perimeter of the base: - The base of the pyramid is a right triangle, so we need to find the lengths of the two remaining sides. - Since one side of the base is given as 6 cm, we can use the Pythagorean theorem to find the lengths of the other two sides. - Let's assume the