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

Answer: The height of the pennant is 3 feet.

Step-by-step explanation:

We know that the area of a triangle is given by:-

$\text{Area}=\dfrac{1}{2}\times\text{(Base)}\times\text{(Height)}$

Given , The base of the triangular pennant is 1.5 feet long.

Area of pennant = 2.25 square feet

Substitute these values in the formula we get,

$2.25=\dfrac{1}{2}\times1.5\times\text{Height}\\\\\Rightarrow\ \text{Height}=\dfrac{2\times2.25}{1.5}\\\\\Rightarrow\ \text{Height}=3\text{ feet}$

Hence, the height of the pennant is 3 feet.