Problema Solution
The shortest side of a triangle is 8 in. less than the medium side, and the longest side is 4 in. longer than 3 times the shortest side. If the perimeter is 27 in., find the length of the shortest side.
Answer provided by our tutors
Let the shortest side S = x
Longest side is 4in longer than 3 times shortest side
So
L = 3x + 4
Medium side is 8 in more than the shortest side
M = x+8
So perimeter = S + L + M = x + 3x + 4+x + 8 = 5x + 12
5x + 12 = 27
x = 15/5 = 3
Length of shortest side = 3 inches