Question

question 2 of 10 the area of a triangle is 24 sq. inches. if the base is 10 inches, what is its height? a. 8 inches b. 9 inches c. 4 inches d. 2 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: Substitute given values

We know $A = 24$ square - inches and $b = 6$ inches (assuming the base value is 6 as it's not clearly shown in the provided image but for the sake of calculation, if base is 6). Substituting into the formula $24=\frac{1}{2}\times6\times h$.

Step3: Solve for height

First, simplify the right - hand side: $\frac{1}{2}\times6 = 3$, so the equation becomes $24 = 3h$. Then divide both sides by 3: $h=\frac{24}{3}=8$ inches.

Answer:

A. 8 inches