SOLUTION: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM: A triangle has a perimeter of 96 inches. Its shortest side measures 3 inches shorter than its middle side, and longest side measure

Algebra ->  Length-and-distance -> SOLUTION: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM: A triangle has a perimeter of 96 inches. Its shortest side measures 3 inches shorter than its middle side, and longest side measure      Log On


   



Question 161037: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
A triangle has a perimeter of 96 inches. Its shortest side measures 3 inches shorter than its middle side, and longest side measures 12 inches longer than its middle side. Find the lengths of the triangle's three side.

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
S=M-3
L=M+12
S+M+L=96
(M-3)+M+(M+12)=96
3M+9=96
3M=96-9
3M=87
M=87/3
M=29 ANSWER FOR THE MIDDLE SIDE.
S=29-3=26 FOR THE SHORT SIDE.
L=29+12=41 FOR THE LONG SIDE.
PROOF:
29+26+41=96
96=96