SOLUTION: The perimeter of a triangle is 186. The longest side of the triangle is 18 more than the shortest side. The sum of the two shorter sides is 27 less than twice the longest side. Wha

Algebra ->  Equations -> SOLUTION: The perimeter of a triangle is 186. The longest side of the triangle is 18 more than the shortest side. The sum of the two shorter sides is 27 less than twice the longest side. Wha      Log On


   

Question 1131746: The perimeter of a triangle is 186. The longest side of the triangle is 18 more than the shortest side. The sum of the two shorter sides is 27 less than twice the longest side. What are the three sides of the triangle?
Please help me with setting up 3 equations

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
short        x
middle       y
long        x+18
TOTAL        186
sum x&y     -27+2(x+18)

-27%2B2%28x%2B18%29%2B%28x%2B18%29=186------single equation in just one variable, for the shortest side.


x=53, and you can find the other two sides.