SOLUTION: One side of a triangle is half the longest side. The third side is 8 meters less than the longest side. The perimeter is 62 meters. Find all three sides.

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Question 570924:
One side of a triangle is half the longest side. The third side is 8 meters less than the longest side. The perimeter is 62 meters. Find all three sides.
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
side(a) , side(b) , longest side(c) , perimeter(p)
given:
a%2Bb%2Bc=p
a=c%2F2
b=c-8
p=62
.
so:
a%2Bb%2Bc=p
%28c%2F2%29%2B%28c-8%29%2Bc=62 i hate fractions so multiply everything by 2
c%2B2c-16%2B2c=124
5c-16=124
5c=140
c=18
.
a=c%2F2
a=18%2F2
a=9
.
b=c-8
b=18-8
b=10