SOLUTION: The perimeter of a triangle is 49 centimeters. The longest side is 5cm less than the sum of the other two sides. Twice the shortest side is 10cm less than the longest side. Find th

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The perimeter of a triangle is 49 centimeters. The longest side is 5cm less than the sum of the other two sides. Twice the shortest side is 10cm less than the longest side. Find th      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 481934: The perimeter of a triangle is 49 centimeters. The longest side is 5cm less than the sum of the other two sides. Twice the shortest side is 10cm less than the longest side. Find the lengths of each side of the triangle.
Then lengths of the sides, from shortest to longest are..
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The perimeter of a triangle is 49 centimeters. The longest side is 5cm less than the sum of the other two sides. Twice the shortest side is 10cm less than the longest side. Find the lengths of each side of the triangle.
------------------------
Let the shortest side be "x".
---
longest side = 2x + 10
------
2x+10 = x + (midside)-5
So, midside = x+15
-------
Equation:
x + x+15 + 2x+10 = 49
4x = 24
----------------------------
shortest = x = 6 cm
middle = x+15 = 21 cm
longest = 2x+10 = 22 cm
=========================
Cheers,
Stan H.