SOLUTION: A small area in front of a building is triangular in shape. The perimeter of the triangle is 37 meters. The second side is one-half of the first side in length. The third side is 3

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Question 177071This question is from textbook
: A small area in front of a building is triangular in shape. The perimeter of the triangle is 37 meters. The second side is one-half of the first side in length. The third side is 3 meters less than the first side. Find the length in meters of each side of the triangular region. This question is from textbook

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Remember: system%28P%5BT%5D=s%5B1%5D%2Bs%5B2%5D%2Bs%5B3%5D%29, working eqn
where------>system%28P%5BT%5D=37m%2Cs%5B1%5D=x%2Cs%5B2%5D=%281%2F2%29x%2Cs%5B3%5D=x-3%29
Then,
37=x%2B%281%2F2%29x%2Bx-3
37%2B3=2x%2B%281%2F2%29x
40=%284x%2Bx%29%2F2 cross multiply
5x=40%2A2=80------>cross%285%29x%2Fcross%285%29=cross%2880%2916%2Fcross%285%29
x=highlight%2816m=s%5B1%5D%29
s%5B2%5D=%281%2F2%2916=highlight%288m=s%5B2%5D%29
s%5B3%5D=16-3=highlight%2813m=s%5B3%5D%29
In doubt? Go back working eqn:
37m=16m%2B8m%2B13m
37m=37m
Thank you,
Jojo