One side of a triangle is 5 meters longer than the second side. The third side is four times the length of the second side. If the perimeter of the triangle is 65 meters, how long is the second side?

1 Answer
Apr 16, 2018

10 meters

Explanation:

Using the ratios given, we have the three sides in terms of one side.

Sides Lengths: #x, x + 5, 4x#

The perimeter is the sum of all of them:
#65 = x + x + 5 + 4x# ; #65 = 6x + 5#
#6x = 60# ; #x = 10#
#x + 5 = 15#
#4x = 40#