Question

1. the right triangle drawn on the road sign is 10 inches high. if the base of the right triangle is 5 inches, what is the area of the right triangle formed in the sign? 36 sq.in. 48 sq.in. 64 sq.in. 25 sq.in.

Explanation:

Step1: Recall area formula for triangle

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

Step2: Identify base and height

Here, base \( b = 5 \) inches and height \( h = 10 \) inches.

Step3: Substitute values into formula

Substitute \( b = 5 \) and \( h = 10 \) into \( A = \frac{1}{2} \times b \times h \), we get \( A = \frac{1}{2} \times 5 \times 10 \).

Step4: Calculate the area

First, multiply \( 5 \times 10 = 50 \), then multiply by \( \frac{1}{2} \): \( \frac{1}{2} \times 50 = 25 \).

Answer:

25 sq.in. (corresponding to the option "25 sq.in.")