Alicia is making a triangular sign for the school play. The area of the sign is 558 in. The base of the triangle is 36in. What is the height of the triangle?

To find the height of the triangle you will use the formula to find the area of the triangle and the information provided about the area and the base length.

A = 1/2 bh

558 = 1/2 x 36 x h

558 = 18 x h

To solve for the height divide both sides by 18.

This leaves you with 31 = h.

So, the height is 31 inches.