SOLUTION: A line parallel to a triangle's side splits AB into lengths of x + 2 and x + 5. The other side, AC, is split into lengths of x and x + 1. What is the length of AC?

Algebra ->  Triangles -> SOLUTION: A line parallel to a triangle's side splits AB into lengths of x + 2 and x + 5. The other side, AC, is split into lengths of x and x + 1. What is the length of AC?      Log On


   

Question 1025955: A line parallel to a triangle's side splits AB into lengths of x + 2 and x + 5. The other side, AC, is split into lengths of x and x + 1. What is the length of AC?
Answer by mananth(16946) About Me  (Show Source):
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A line parallel to a triangle's side splits AB into lengths of x + 2 and x + 5. The other side, AC, is split into lengths of x and x + 1. What is the length of AC?
Ratio of sides of similar triangles %28+x+%2B+2%29%2F%28+x+%2B+5%29+=+x+%2F%28+x+%2B+1%29.
(x+2)(x+1) = x(x+5)
x%5E2%2B3x%2B2+=+x%5E2%2B5x
5x-3x=2
2x=2
x=1
(x+x+1) = 3
AC = 3