Question

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. 15 inches
c. 4 inches
d. 8 inches

Explanation:

Step1: Recall the area formula of a triangle

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

Step2: Substitute the known values into the formula

We know that $A = 40$ square inches and $b = 10$ inches. Substituting these values into the formula, we get $40=\frac{1}{2}\times10\times h$.

Step3: Simplify and solve for $h$

First, simplify the right - hand side of the equation: $\frac{1}{2}\times10 = 5$, so the equation becomes $40 = 5h$. Then, divide both sides of the equation by 5: $h=\frac{40}{5}=8$ inches.

Answer:

D. 8 inches