SOLUTION: A triangular region has a perimeter of 150 meters. The first side is one-half of the second side. The third side is 20 meters shorter than the second side. What are the lengths of

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Question 800984: A triangular region has a perimeter of 150 meters. The first side is one-half of the second side. The third side is 20 meters shorter than the second side. What are the lengths of the three sides?
Answer by Finavon(81) About Me  (Show Source):
You can put this solution on YOUR website!
let sides be a, b and c
a+b+c=150 (1)
2a=b so a=b/2
c=b-20
substitute for a and c in (1)
b/2 + b + b-20 = 150
5b/2=170
b=340/5 = 68
a=68/2 = 34
c=68-20= 48
Sides are 34, 68 and 48 m
Check perimeter = 34+68+48 = 150