# Math Help - Similar Triangle Ratios

1. ## Similar Triangle Ratios

Hey Guys,

I need help setting up question #24

So far I set it up as AD/AB = AE/AC

I got 4/4+x = 18-x/18+x

then I got x^2 - 14x -144

I don't know if this is correct yet.

2. ## Re: Similar Triangle Ratios

Ac is given and is equal to 18 therefore your ratio must be (x)/18 and not x-18/18+x.....

3. ## Re: Similar Triangle Ratios

Originally Posted by MINOANMAN
Ac is given and is equal to 18 therefore your ratio must be (x)/18 and not x-18/18+x.....
I'm so blind lol
So it should be AD/AB = AE/AC
which is 4/x+4 = x/18
correct?

yes

5. ## Re: Similar Triangle Ratios

Hi,
Even "easy" questions can have some interesting properties. In particular, the figure for the problem is misleading in that no such triangle can exist. The attachment explores this: