SOLUTION: The side of a triangle is twice the length of the shortest side and the middle length side is 9 inches longer than the shortest side. If the perimeter is 65 inches what are the len

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Question 1003430: The side of a triangle is twice the length of the shortest side and the middle length side is 9 inches longer than the shortest side. If the perimeter is 65 inches what are the lenths of the 3 sides?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The side of a triangle is twice the length of the shortest side and
a = 2c
the middle length side is 9 inches longer than the shortest side.
b = c + 9
If the perimeter is 65 inches what are the lengths of the 3 sides?
a + b + c = 65
Replace a and b
2c + (c+9) + c = 65
4c = 65 - 9
4c = 56
c = 56/4
c = 14 is the shortest side
then
a = 2(14)
a = 28 is the longest side
and
b = 14 + 9
b = 23 is the middle side
:
:
Check this: 28 + 23 + 14 = 65