Question

A dinner platter is in the shape of a regular decagon. The platter has an area of 161 sqaure inches and a side length of 4.6 inches. What is the area of each triangle? What is the height of each triangle?

Answer 1

There are 10 such equal triangles if the decagon is regular.
Area of 1 triangle = 161/10 = 16.1 square inches.

Area of a triangle = 1/2 * b * h
area = 16.1
base = 4.6 (the length of each side)

16.1 = 1/2 * 4.6 * h
32.1 = 4.6 * h
h = 32.1 / 4.6
h = 6.98 inches. <<<< answer