Question

a triangle has a base of 15 inches and an area of 82.5 square inches. What is the height of the triangle

Answer 1

Area of a triangle = 1/2 x base x height.

Replace are and base to get:

82.5 = 1/2 x 15 x height

Multiply both sides by 2:

165 = 15 x height

Divide both sides by 15:

Height = 165 / 15

Height = 11 inches.