# The height of a regular quadrangular pyramid is 12 cm, and the side of the base is 24 cm.

January 20, 2021 | education

| **The height of a regular quadrangular pyramid is 12 cm, and the side of the base is 24 cm. Calculate the dihedral angle at the base.**

Since the pyramid is correct, then at its base there is a square, and the point of intersection of the diagonals O is the center of the square, then O1H = AD / 2 = 24/2 = 12 cm.

Consider a right-angled triangle OO1H, in which both legs are 12 cm, OO1 = O1H = 12 cm, then the triangle is rectangular and isosceles, and the angle at the base is OH = 450.

Answer: The dihedral angle ОНО1 is 450.

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