Question

the area of the triangle below is 24.75 square centimeters. what is the length of the base? 5.5 cm

Explanation:

Step1: Recall area formula

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

Step2: Rearrange formula for base

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

Step3: Substitute values

Given $A = 24.75$ square - centimeters and $h=5.5$ cm. Substitute into the formula: $b=\frac{2\times24.75}{5.5}$.

Step4: Calculate

First, $2\times24.75 = 49.5$. Then, $\frac{49.5}{5.5}=9$ cm.

Answer:

9 cm