Question

question 3 of 10
the area of a triangle is 40 sq. inches. if the base of the triangle is 10 inches, what is its height?
a. 2 inches
b. 4 inches
c. 15 inches
d. 8 inches

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 height

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

Step3: Substitute values

Given $A = 40$ square - inches and $b = 10$ inches. Substitute these values into the formula: $h=\frac{2\times40}{10}$.

Step4: Calculate height

$h=\frac{80}{10}=8$ inches.

Answer:

D. 8 inches