Online Geometry Problems

Online Geometry Problem 807: Right Triangle Area, Incircle, Tangency Points, Semicircle Area, Diameter. Level: High School, SAT Prep, College, Mathematics Education

The figure below shows a right triangle ABC of area S with the incircle I tangent to AB, BC, and AC at D, E, and F, respectively. If S1 and S2 are the areas of semicircles of diameters AD and CE, prove that Formula to prove.
 

Right triangle , Area, Incircle, Semicircle
 

 

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