Question

In the right-triangular-shaped billboard with side lengths 25 feet, 7 feet, and 24 feet, find the ratio of the longest side to the perimeter.

A) 1/16
B) 1/15
C) 1/14
D) 1/13

Answer 1

The ratio of the longest side to the perimeter of the given right-triangular-shaped billboard is 25/56.

Step-by-step explanation:

In a right triangle, the longest side is always the hypotenuse. So in the given triangle with side lengths 25 feet, 7 feet, and 24 feet, the longest side is 25 feet.

The perimeter of a triangle is the sum of its three sides. So the perimeter of this triangle is 25 + 7 + 24 = 56 feet.

The ratio of the longest side (25 feet) to the perimeter (56 feet) is therefore 25/56.

To simplify this ratio, divide both the numerator and denominator by their greatest common divisor, which is 1. The simplified ratio is 25/56.