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Problem 22: Right triangle, Altitude, Perpendiculars, Inradii
Level: High School, SAT Prep, College geometry

The figure shows a right triangle ABC with the altitude BD. Lines DE and DF are perpendicular to AB and BC, respectively, r, r1, and r2 are the inradii of the triangles ABC, AED, and DFC respectively. Prove that r1 + r2 = r.


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Art and typography of problem 22

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