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.
Since ABC is a right triangle, use the Pythagorean Theorem:
(r + 12)2 = r2 + 362
r2 + 24r + 144 = r2 + 1296
24r = 1152
r = 48