Question

The Hudson high school wrestling team just won the state tournament and have 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 a area of 2.25 Square feet. What is the height of the pennant.

Answer 1

3 feet.

Explanation:

• Base of the triangular pennant = 1.5 feet long.
• Area of the triangular pennant = 2.25 Square feet.

Now, we know that:

Area of a Triangle
`=(1)/(2)$ X Base X Height`

Substituting the given values, we have:

`2.25=(1)/(2)$ X 1.5 X Height\\\\2.25=$(1.5)/(2)$ X Height\\\\Cross multiply\\\\2.25*2=1.5 X Height\\\\Divide both sides by 1.5 to solve for the height\\\\(2.25*2)/(1.5)=(1.5 X Height)/(1.5)\\\\$Height of the Triangle =3 feet`

Therefore, the height of the pennant is 3 feet.