SOLUTION: A circle is inscribed in a right angle triangle. The circle touches the hypotenuse, dividing it in the ratio 3:2. find the radius of the circle?

Question 902633: A circle is inscribed in a right angle triangle. The circle touches the
hypotenuse, dividing it in the ratio 3:2. find the radius of the circle?
Answer by Edwin McCravy(20059) (Show Source): You can put this solution on YOUR website!

No dimensions are given, only the 3:2 ratio, so I can only 
assume that the hypotenuse is 5 units long and is divided 
into two parts, one which is 3 units long and the other 
2 units long, like this drawing. Let the radius be R units
long: 



So by the Pythagorean theorem:









Divide through by 2:





, 
  ,  

We ignore the negative answer, and
the radius is R = 1 unit long.

Anything you don't understand you can ask 
me in the thank-you note below and I will 
get back to you.

Edwin

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