SOLUTION: the perimeter of a triangle is 63 centimeters. the longest side is 5 centimeters less than the sum of the other two sides. Twice the shortest side is 17 centimeters less than the l

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: the perimeter of a triangle is 63 centimeters. the longest side is 5 centimeters less than the sum of the other two sides. Twice the shortest side is 17 centimeters less than the l      Log On


   

Question 433341: the perimeter of a triangle is 63 centimeters. the longest side is 5 centimeters less than the sum of the other two sides. Twice the shortest side is 17 centimeters less than the longest side. Find the lenghts of each side of the triangle.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
the perimeter of a triangle is 63 centimeters. the longest side is 5 centimeters less than the sum of the other two sides. Twice the shortest side is 17 centimeters less than the longest side. Find the lenghts of each side of the triangle.
..
let x=longest side
let y=shortest side
let z=third side
3 equations:
x=y+z-5
2y=x-17
x+y+z=63
..
x-y+5=z
x+y-63=-z
add
2x=58
x=29
2y=x-17=29-17=12
y=6
z=63-x-y=63-41=22
ans
Long side = 29 cm
Short side = 6 cm
Third side = 22 cm