Question

the area of the triangle below is 12.87 square inches. what is the length of the base?

Explanation:

Step1: Recall triangle - area formula

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 the formula to solve for the base

We can rewrite the formula as $b = \frac{2A}{h}$. Given that $A = 12.87$ square - inches and $h=3.9$ inches.

Step3: Substitute the values into the formula

$b=\frac{2\times12.87}{3.9}=\frac{25.74}{3.9}=6.6$ inches.

Answer:

$6.6$ inches