SOLUTION: The perimeter of a triangle is 86 inches. The largest side is four inches less than twice the smallest side. The third side is 10 inches longer than the smallest side. What is the

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Question 480704: The perimeter of a triangle is 86 inches. The largest side is four inches less than twice the smallest side. The third side is 10 inches longer than the smallest side. What is the length of each side?
Answer by emargo19(101) About Me  (Show Source):
You can put this solution on YOUR website!
Perimeter of a triangle=a%2Bb%2Bc
Let Largest side be=a
Let smallest side=b
3rd side=c

The largest is 4 inches less than twice the smallest
So, a=2%28b%29-4
The third is 10 inches longer than smallest
So, c=10%2Bb

P=a+b+c
substitute a and c in the above equation.
86=%282%28b%29-4%29%2Bb%2B%2810%2Bb%29
86=2b-4%2Bb%2B10%2Bb
86=4b%2B6
80=4b
4b=80
b=20
So smallest=20 inches.
The largesta=2%28b%29-4 a=2%2A20-4 Soa=36inches.
The 3rd sidec=10%2Bb c=10%2B20 So c=30inches.