# Thread: Find Length to Side of Triangle

1. ## Find Length to Side of Triangle

This is how the problem started, and I need to find X. After working on it for awhile, all I could get to was this.

If you could please help me complete this, and tell me what you did, I'd deeply appreciate it. Thanks!

2. (1) solve for $y$ using Pythagoras.

(2) similar triangles ...

$\dfrac{y}{52} = \dfrac{r}{48+r}$

solve for $r$.

(3) similar triangles again ...

$\dfrac{y}{48} = \dfrac{x}{48+2r}$

solve for x

3. Hi kwikpwn,
After you solve for y by the pythagorian theorem you can set up a simple equation in one unknown to find x.Use the property of tangents.

bjh