SOLUTION: The perimeter of a triangle is 76. the second side is twice as long as the first side. The third side is four centimeters shorter than the second side. How long is each side?

Question 890375: The perimeter of a triangle is 76. the second side is twice as long as the first side. The third side is four centimeters shorter than the second side. How long is each side?
Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
A + B + C = 76 [remember, a perimeter is just a fence around]
B = 2A
C = B-4
Substitute the known values of B & C into the top equation
A + B + C = 76
A + 2A + (B-4) = 76
Substitute again for B
3A + 2A - 4 = 76
5A - 4 = 76
Add 4 to each side
5A = 80
Divide each side by 5
A = 16
Therefore B = 32, and C = 28
Sides are 16, 32, and 28
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