Find Length to Side of Triangle

**kwikpwn** · March 22nd 2011, 02:59 PM

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!

**skeeter** · March 22nd 2011, 03:22 PM

(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

**bjhopper** · March 23rd 2011, 11:33 AM

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

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