A triangle has a base of 15 inches and an area of 60 square inches. What is the height of the triangle? In your final answer, include all of your calculations.

The height is 8 inches

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

60 = 1/2 *15*h

60 = 15/2 h

Multiply each side by 2/15

60 *2/15 = 2/15 *15/2 h

8 = h

We can solve for h in the triangle area formula to solve for the height. (a = 60 and b = 15

Triangle Area Formula: A = 1/2bh

60 = 1/2(15)h

60 = 7.5h

60/7.5 = 7.5h/7.5

8 = h

Hence, the height of the triangle is 8 inches.

Best of Luck!