SOLUTION: A certian triangle, the second side is one-third of the first side in length. The third side is 2 meter less than the first side. The perimeter of the triangle is 26 meters. Chang

Algebra ->  Triangles -> SOLUTION: A certian triangle, the second side is one-third of the first side in length. The third side is 2 meter less than the first side. The perimeter of the triangle is 26 meters. Chang      Log On


   

Question 175787: A certian triangle, the second side is one-third of the first side in length. The third side is 2 meter less than the first side. The perimeter of the triangle is 26 meters. Change from and algebriac equation to express the problem.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Let 1st side=a=x
2nd side=b=%281%2F3%29x
3rd side=c=x-2
Then, we know P=a%2Bb%2Bc, working eqn
26m=x%2B%281%2F3%29x%2B%28x-2%29
26%2B2=2x%2B%281%2F3%29x, get LCD
28=%286x%2Bx%29%2F3, cross multiply
28%2A3=7x
7x=84------->cross%287%29x%2Fcross%287%29=cross%2884%2912%2Fcross%287%29
x=12m--------> 1st side
%281%2F3%2912=4m---> 2nd side
12-2=10m-----> 3rd side
Check via working eqn:
26m=12%2B4%2B10
26m=26m
Thank you,
Jojo