Question

a triangle has an area of 107.1 square meters and a base of 18 meters. what is the height?

Explanation:

Step1: Recall area formula for triangle

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

Step2: Rearrange formula to solve for height

We can rewrite the formula as $h = \frac{2A}{b}$.

Step3: Substitute given values

Given $A = 107.1$ square - meters and $b = 18$ meters. Then $h=\frac{2\times107.1}{18}$.
First, calculate $2\times107.1 = 214.2$. Then $\frac{214.2}{18}=11.9$.

Answer:

$11.9$