Question

The Hudson High School wrestling team just won the state tournament and has been awarded a triangular pennant to hang on the wall in the school gymnasium. The base of the pennant is 1.5 feet long. It has an area of 2.25 square feet. What is the height of the pennant?

Answer 1

The height of the pennant is 3 feet.

Explanation:

The pennant has a triangular shape, therefore the area of the pennant is given by the following formula:

area = (1/2)*b*h

Since we were given the value for the area, which is 2.25 square feet, and the value for the base, which is 1.5 feet, we can solve for the height of the triangle. Applying this data for the formula:

2.25 = (1/2)*1.5*h

2.25 = 0.75*h

0.75*h = 2.25

h =2.25 / 0.75

h = 3 feet

The height of the pennant is 3 feet.