Question

A triangle has a perimeter of 77 centimeters and one side is 25 centimeters. The other

two sides have a ratio of 4:9. What is the length of the longest side of the triangle?

Answer 1

36 cm

Explanation:

Let x represent the multiplier of the ratio units. Then the perimeter is the sum of the side lengths:

77 = 25 + 4x +9x

52 = 13x . . . . . . . . subtract 25

x = 4 . . . . . . . . . divide by 13

4x = 4(4) = 16 . . . . find the other side lengths

9x = 9(4) = 36

The side lengths are 25 cm, 16 cm, 36 cm. The longest side is 36 cm.