Question

1. the area of a triangle is 24 square inches. if the base is 8 inches, what is the height?

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 known values

We know $A = 24$ square - inches and $b = 8$ inches. Substitute into the formula: $24=\frac{1}{2}\times8\times h$.

Step3: Simplify the right - hand side

$\frac{1}{2}\times8 = 4$, so the equation becomes $24 = 4h$.

Step4: Solve for $h$

Divide both sides of the equation by 4: $h=\frac{24}{4}=6$ inches.

Answer:

6 inches