Question

multiple choice 1 point
a triangle has a base that measures 11 inches and has an area of 49.5 square inches. find the length of the height of the triangle. give your answer in inches.
2.25
9
36
18
4.5

Explanation:

Step1: Recall area formula

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

Step2: Substitute known values

We know $A = 49.5$ square - inches and $b = 11$ inches. Substituting into the formula gives $49.5=\frac{1}{2}\times11\times h$.

Step3: Solve for h

First, simplify the right - hand side: $\frac{1}{2}\times11\times h=\frac{11h}{2}$. Then we have the equation $49.5=\frac{11h}{2}$. Multiply both sides by 2 to get $49.5\times2 = 11h$, so $99 = 11h$. Divide both sides by 11: $h=\frac{99}{11}=9$ inches.

Answer:

9