All side edges of the pyramid are 10 cm each. The height of the pyramid is 6 cm. Find the radius

All side edges of the pyramid are 10 cm each. The height of the pyramid is 6 cm. Find the radius of the circle described near the base of the pyramid.

Since all the edges of the pyramid are equal, then it is correct, therefore, a square lies at its base. Since the height is 6 cm, then we find the projection of the rib onto the base according to the Pythagorean theorem:

√10 ^ 2 – 6 ^ 2 = √ (100 – 36) = 8 cm.

This projection is half the diagonal of the square, which is the radius of the circumscribed circle.

Answer: 8 cm.