SOLUTION: The perimeter of a triangle is 43 inches. The second side is three inches longer than the first side. The third side is one inch longer than the second. Find the length of each sid

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The perimeter of a triangle is 43 inches. The second side is three inches longer than the first side. The third side is one inch longer than the second. Find the length of each sid      Log On


   

Question 25149: The perimeter of a triangle is 43 inches. The second side is three inches longer than the first side. The third side is one inch longer than the second. Find the length of each side.
Answer by wuwei96815(245) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=first side, x+3=second side, and x+3+1=third side.

All together they should total 43. Therefore:
(x)+(x+3)+(x+3+1) = 43

Remove the parentheses and solve for x.
x+x+3+x+3+1 = 43
3x + 7 = 43
3x = 43-7 = 36
x = 36/3 = 12

x+3 = 12+3 = 15
x+3+1 = 12+3+1 = 16