SOLUTION: A triangle has a perimeter of 31 inches. Find the lengths of the three sides if one side is 7 inches longer than the shortest side and the length of the third side is twice the sho

Algebra ->  Triangles -> SOLUTION: A triangle has a perimeter of 31 inches. Find the lengths of the three sides if one side is 7 inches longer than the shortest side and the length of the third side is twice the sho      Log On


   



Question 302964: A triangle has a perimeter of 31 inches. Find the lengths of the three sides if one side is 7 inches longer than the shortest side and the length of the third side is twice the shortest side?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
P=A=B+C
31=(X+7)+2X+X
31=4X+7
4X=31-7
4X=24
X=24/4
X=6 FOR THE SHORTEST SIDE.
6+7=13 FOR THE NEXT SIDE.
2*6=12 FOR THE THIRD SIDE.
PROOF:
31=6+13+12
31=31