Question

the area of the triangle below is 20.79 square centimeters. what is the length of the base? 6.3 cm

Explanation:

Step1: Recall area formula

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

Step2: Rearrange the formula for base

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

Step3: Substitute values

Given $A = 20.79$ square - centimeters and $h=6.3$ centimeters. Then $b=\frac{2\times20.79}{6.3}$.
First, calculate $2\times20.79 = 41.58$.
Then, $b=\frac{41.58}{6.3}=6.6$ centimeters.

Answer:

$6.6$ centimeters