Question

find the area of the triangle below. be sure to include the correct unit in your answer.

Explanation:

Step1: Recall triangle area formula

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

Step2: Identify base and height

From the diagram, the base of the triangle is $17$ yd and the height (the perpendicular segment) is $5$ yd.

Step3: Substitute values into formula

Substitute $base = 17$ yd and $height = 5$ yd into the formula: $A=\frac{1}{2}\times17\times5$.

Step4: Calculate the area

First, multiply $17$ and $5$: $17\times5 = 85$. Then, multiply by $\frac{1}{2}$: $\frac{1}{2}\times85 = 42.5$. The unit for area is square yards, so the area is $42.5$ yd².

Answer:

$42.5$ yd²