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A geometry problem

In a triangle ABC, H is the orthocenter (see the figure below). Lines DEF and GJK are perpendicular at H so that G and F are on AB , D and K on BC, E and J on AC. Prove that the circumcircles of triangles EHJ, FHG, and DHK meet at a point P.

Note by Neel Khare
3 months ago

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What have you tried? Staff · 2 months, 4 weeks ago

He has solved. He is just posting it as a question and not because he was not able to solve. · 2 months, 3 weeks ago

thanks @Rohit Camfar · 2 months, 3 weeks ago

I think ceva's theorem should help. · 2 months, 3 weeks ago