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Geometry Problem 1155: Right Triangle, Altitude, Incenter, Incircle, Area. Level: School, College, Mathematics Education

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The figure below shows a right triangle ABC with the altitude BH. O, O1, and O2 are the incenters of triangles ABC, AHB and BHC, respectively. If area of triangle AO1B = 5 and area of triangle AOC = 13, find the area of triangle BO2C.
 
 

Geometry Problem 1155 Right Triangle, Altitude, Incenter, Incircle, Area


 


 

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