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.

No vote yet

1 vote

×

Problem Loading...

Note Loading...

Set Loading...

## Comments

Sort by:

TopNewestWhat have you tried? – Calvin Lin Staff · 2 months, 4 weeks ago

Log in to reply

– Rohit Camfar · 2 months, 3 weeks ago

He has solved. He is just posting it as a question and not because he was not able to solve.Log in to reply

@Rohit Camfar – Neel Khare · 2 months, 3 weeks ago

thanksLog in to reply

– Rohit Camfar · 2 months, 3 weeks ago

I think ceva's theorem should help.Log in to reply

– Neel Khare · 2 months, 3 weeks ago

explain the relevance of your statement to this problemLog in to reply