Question

8 yd. 3 yd. b what is the perimeter? if necessary, round to the nearest tenth. yards

Explanation:

Step1: Find the length of \( b \)

This is a right triangle, so we use the Pythagorean theorem \( a^2 + b^2 = c^2 \), where \( c = 8 \) yd (hypotenuse), \( a = 3 \) yd (one leg), and \( b \) is the other leg. Rearranging for \( b \): \( b = \sqrt{c^2 - a^2} \). Substitute values: \( b = \sqrt{8^2 - 3^2} = \sqrt{64 - 9} = \sqrt{55} \approx 7.4 \) yd.

Step2: Calculate the perimeter

Perimeter of a triangle is the sum of all sides: \( P = 8 + 3 + b \). Substitute \( b \approx 7.4 \): \( P = 8 + 3 + 7.4 = 18.4 \) yd.

Answer:

18.4