Question

The face of a triangular-shaped guitar has an area of 52 square inches and a height of 13 inches. Write an equation to find the length of the base. Then find the length of the base of the guitar’s face.

Answer 1

8 inches

Explanation:

The area of a triangle is given by

A = 1/2 b*h

The area is 52 and the height is 13

52 = 1/2 b*13

52 = 13/2 b

Multiply each side by 2/13 to isolate b

52*2/13 = 2/13*13/2 b

8 = b

The length of the base is 8 inches