Find the fourth side of a quadrilateral inscribed in a circle having one of its sides equal to 20 m. as its diameter, and the other two sides adjacent to the diameter are 8 m. and 12 m., respectively.

Given that the perimeter of a triangle is 100 cm. If the angles of the triangle are in the ratio 3:4:5. Find the longest side of the triangle.

A solid has a circular base of radius 20 cm. Find the volume of the solid if every plane section perpendicular to a certain diameter is an equilateral triangle.

The sides of a triangle are 8 cm, 10 cm, and 14 cm. Determine the radius of the inscribed and circumscribing circle.

Find each interior angle of a hexagon.

A pyramid with a square base has an altitude of 25 cm. If the edge of the base is 15 cm. Calculate the volume of the pyramid.

In triangle BCD, BC = 25 m, and CD = 10 m. The perimeter of the triangle maybe: