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16.4

Part of Geometry Mathley 2011-12

Problems(1)

Geometry Mathley 16.4 orthocenter

Source:

6/14/2020
A triangle ABCABC is inscribed in the circle (O)(O), and has incircle (I)(I). The circles with diameter IAIA meets (O)(O) at A1A_1 distinct from AA. Points B1,C1B_1,C_1 are defined in the same manner. Line B1C1B_1C_1 meets BCBC at A2A_2, and points B2,C2B_2,C_2 are defined in the same manner. Prove that OO is the orthocenter of triangle A2B2C2A_2B_2C_2.
Trần Minh Ngọc
geometryorthocenterincenterCircumcenter