SOLUTION: The perimeter if a triangle is 70 cm. The longest side is 4cm less than the sum of the other two sides. Twice the shortest side is 9cm less than the longest side. Find the length

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Question 799165: The perimeter if a triangle is 70 cm. The longest side is 4cm less than the sum of the other two sides. Twice the shortest side is 9cm less than the longest side. Find the length of each side of the triangle.
Using linear equations
Answer by mananth(16946) About Me  (Show Source):
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The perimeter if a triangle is 70 cm. The longest side is 4cm less than the sum of the other two sides. Twice the shortest side is 9cm less than the longest side. Find the length of each side of the triangle.

two sides x & y ( y shortest side)
Longest side = (x+y)+4
2y=(x+y)+4-9
2y=x+y-5
x-y=5................(1)
x+y+x+y+4=70
2x+2y+4=70
2x+2y=66
/2
x+y=33.................(2)
Add (1) & (2)
2x=38
x=19
y=14 ( shortest side)
70-(33)=37
37 longest side