Ya.....can someone please help me with this question!???

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- Jul 3rd 2007, 10:51 PMRaiden_11Oh man deductive proof...Please help?!
Ya.....can someone please help me with this question!???

Attachment 3490 - Jul 3rd 2007, 11:02 PMearboth
Hello,

you only have to use Pythagorean theorem:

With your problem the hypotenuse is (r+R). You'll get:

$\displaystyle (AP)^2 + R^2 = (r+R)^2$

$\displaystyle (AP)^2 = (r+R)^2-R^2$

$\displaystyle (AP)^2 = r^2 + 2rR +R^2-R^2$

$\displaystyle (AP)^2 = r^2 + 2rR $

$\displaystyle |AP| = \sqrt{r^2 + 2rR }$