Question

find the area of the triangle below. be sure to include the correct unit in your answer. (triangle image with 19 ft base, 17 ft height, 15 ft side)

Explanation:

Step1: Recall the formula for the area of a triangle

The formula for the area of a triangle is \( A=\frac{1}{2}\times base\times height \). Here, the base of the triangle is \( 19\space ft \) and the height is \( 17\space ft \).

Step2: Substitute the values into the formula

Substitute \( base = 19 \) and \( height=17 \) into the formula:
\( A=\frac{1}{2}\times19\times17 \)

First, calculate \( 19\times17 = 323 \). Then, multiply by \( \frac{1}{2} \):
\( A=\frac{323}{2}= 161.5 \)

The unit for area of a triangle with linear units in feet is square feet (\( ft^2 \)).

Answer:

\( 161.5\space ft^2 \)