Question

ДАЮ 50 БАЛЛОВ!!! ПОМОГИТЕ, ПОЖАЛУЙСТА, С ГЕОМЕТРИЕЙ. Сторона основания и высота правильной четырехугольной пирамиды равны 2. Найдите косинус угла между смежными боковыми гранями пирамиды.​

Answer 1

Ответ cosα=-0.2 где α- угол  между двумя смежными гранями правильной четырехугольной пирамиды.

Answer 2

Finding the Cosine of the Angle Between Adjacent Lateral Edges of a Regular Quadrilateral Pyramid

To find the cosine of the angle between the adjacent lateral edges of a regular quadrilateral pyramid, we can use the formula:

Cosine of the angle = (adjacent side length / 2) / height

Given that the side length of the base and the height of the pyramid are both equal to 2, we can substitute these values into the formula to find the cosine of the angle.

Cosine of the angle = (2 / 2) / 2 = 1 / 2

So, the cosine of the angle between the adjacent lateral edges of the pyramid is 1/2.

This calculation is based on the formula for finding the cosine of an angle in a right-angled triangle, where the adjacent side length is divided by the hypotenuse, which in this case is the height of the pyramid.