Question

The ratio of the measures of the sides of a triangle is 4:7:5. If the perimeter of the triangle is 128 yards, find the length of the longest side. (Answer in numbers only)

Answer 1

56 yards

Explanation:

If the ratio of the measures of the sides of a triangle is 4:7:5, the total ratio of the sides is equal to 4+7+5 = 16

If the perimeter of the triangle is 128 yards, then the longest sides with ratio of 7 will be expressed as shown;

length of the longest side = ratio of the longest side/total ratio * Perimeter of the triangle

length of the longest side = 7/16 * 128

length of the longest side = 7 * 8

length of the longest side = 56 yards