Question

question 16
find the area of the triangle pictured above. enter your answer as an integer or a reduced fraction. (do not use mixed numbers, use improper fractions instead.) units are in miles.
$a=\text{______}mi^{2}$

Explanation:

Step1: Recall area formula

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

Step2: Identify base and height

From the figure, the base $b = 9$ miles and the height $h=9$ miles.

Step3: Substitute values

Substitute $b = 9$ and $h = 9$ into the formula: $A=\frac{1}{2}\times9\times9$.

Step4: Calculate

$A=\frac{1}{2}\times81=\frac{81}{2}$ square - miles.

Answer:

$\frac{81}{2}$