SOLUTION: The shortest side of a triangle is three inches shorter than the longest side. The remaining side is two inches longer than the shortest side. The perimeter of the triangle is tw

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Question 346634: The shortest side of a triangle is three inches shorter than the longest side. The remaining side is two inches longer than the shortest side. The perimeter of the triangle is twenty inches. What is the length of each side?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A,B, and C be the sides of the triangle, ordered from shortest to longest.
1.A=C-3
2.B=A%2B2
From eq. 1,
C=A%2B3
THe perimeter of the triangle is,
A%2BB%2BC=20
Substitute,
A%2B%28A%2B2%29%2B%28A%2B3%29=20
3A%2B5=20
3A=15
highlight%28+A=5%29inches
Then
B=5%2B2
highlight%28+B=7%29inches
and
C=5%2B3
highlight%28+C=8%29inches