Question

the area of the triangle below is 25.37 square feet. what is the length of the base? 5.9 ft

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 formula: $b = \frac{2A}{h}$

Step3: Substitute given values

Substitute $A=25.37$, $h=5.9$:
$b = \frac{2 \times 25.37}{5.9}$

Step4: Calculate numerator first

$2 \times 25.37 = 50.74$

Step5: Divide to find base

$b = \frac{50.74}{5.9} = 8.6$

Answer:

8.6 feet