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) (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
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