Question

a triangle has an area of 55.3 square inches and a base of 14 inches. what is the height?

Explanation:

Step1: Recall area formula

The area formula for a triangle is $A=\frac{1}{2}bh$, where $A$ is area, $b$ is base and $h$ is height.

Step2: Rearrange formula for height

We can rewrite the formula to solve for $h$: $h = \frac{2A}{b}$.

Step3: Substitute values

Given $A = 55.3$ square - inches and $b = 14$ inches. Substitute into the formula: $h=\frac{2\times55.3}{14}$.

Step4: Calculate height

First, calculate $2\times55.3 = 110.6$. Then, $\frac{110.6}{14}=7.9$ inches.

Answer:

7.9 inches