A geometry problem by Rahil Sehgal
Let π΄π΅πΆπ· be a convex quadrilateral with β π·π΄π΅ = β π΅π·πΆ = 90. Let the incircles of triangles π΄π΅π· and π΅πΆπ· touch π΅π· at π and π, respectively, with π lying in between π΅ and π.
If π΄π· = 999 and ππ = 200 then what is the sum of the radii of the incircles of triangles π΄π΅π· and π΅π·πΆ?
The answer is 799.
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