Question

1. the white triangle drawn on the road sign in the picture has a height of 8\ and a base of 5\. which formula would be correct to find the area of this triangle?

a= 2(8)+2(5)

a = \\(\frac{1}{2}\\) (8+8)(5+5)

a = 2 (8)(8) + 2 (5)(5)

a= \\(\frac{1}{2}\\) (8)(5)

Explanation:

Step1: Recall triangle area formula

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

Step2: Identify base and height

Here, base \( b = 5'' \) and height \( h = 8'' \).

Step3: Match with options

Substitute into the formula: \( A = \frac{1}{2}(8)(5) \), which matches the last option.

Answer:

\( A = \frac{1}{2}(8)(5) \) (the fourth option: \( A=\frac{1}{2}(8)(5) \))