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

Answer:

3 feet.

Step-by-step 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$=\frac{1}{2} X Base X Height$

Substituting the given values, we have:

$2.25=\dfrac{1}{2} X 1.5 X Height\\\\2.25= \dfrac{1.5}{2} X Height\\\\Cross multiply\\\\2.25*2=1.5 X Height\\\\Divide both sides by 1.5 to solve for the height\\\\\dfrac{2.25*2}{1.5}=\dfrac{1.5 X Height}{1.5}\\\\ Height of the Triangle =3 feet$

Therefore, the height of the pennant is 3 feet.