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In the diagram, point B is a point of tangency. Find the radius r of ​⨀C.

What is the radius r of ⨀C?

Please show all the work on how you got your answer.

 

 Apr 11, 2020
 #1
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Since ABC is a right triangle, use the Pythagorean Theorem:

 

            (r + 12)2  =  r2 + 362 

   r2 + 24r + 144  =  r2 + 1296

                     24r  =  1152

                         r  =  48

 Apr 11, 2020

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