Question

what is the area of the triangle?
image of a purple triangle with a height of 5 ft (marked with a right angle) and a base of 8 ft
blank box square feet

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 \( b = 8 \) ft and the height \( h = 5 \) ft.

Step3: Substitute values into formula

Substitute \( b = 8 \) and \( h = 5 \) into the formula: \( A = \frac{1}{2} \times 8 \times 5 \).

Step4: Calculate the area

First, calculate \( 8 \times 5 = 40 \), then \( \frac{1}{2} \times 40 = 20 \).

Answer:

20