A circle is inscribed into a right triangle. From the center of the circle a perpendicular is dropped on the hypotenuse, dividing the hypotenuse into two segments of length 12 and 5. What is the sum of the legs of the triangle?

I did draw the diagram, and connected the center of the circle to the edges, but I cannot go on from there. Could somebody help me? Thanks!

moneydude242 Apr 11, 2024