Question

the area of the triangle below is 5.89 square meters. what is the length of the base? 3.1 m answer attempt 1 out of 2 b = m submit answer

Explanation:

Step1: Recall triangle area formula

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

Step2: Rearrange to solve for base

Rearrange the formula to isolate $b$: $b = \frac{2A}{h}$

Step3: Substitute given values

Substitute $A=5.89$ m², $h=3.1$ m:
$b = \frac{2 \times 5.89}{3.1}$

Step4: Calculate the result

First compute $2 \times 5.89 = 11.78$, then $\frac{11.78}{3.1} = 3.8$

Answer:

3.8 m