Question

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

Explanation:

Step1: Recall the formula for the area of a triangle

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

Step2: Identify the base and height from the diagram

From the triangle, the base (\( b \)) is \( 15 \, \text{ft} \) and the height (\( h \)) is \( 6 \, \text{ft} \).

Step3: Substitute the values into the formula

Substitute \( b = 15 \) and \( h = 6 \) into the formula: \( A = \frac{1}{2} \times 15 \times 6 \).
First, calculate \( 15 \times 6 = 90 \). Then, calculate \( \frac{1}{2} \times 90 = 45 \).

Answer:

\( 45 \) square feet (or \( 45 \, \text{ft}^2 \))