Let AABC be a triangle. Denote the altitudes at

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Let AABC be a triangle. Denote the altitudes at <A, <B, and <C by AD, BE and CF, correspondingly. That is, let E and F be the feet
of the altitudes of AABC. Let H be the orthocenter of AABC. Prove that the four points A, F, H, and E lie on a circle.
Transcribed Image Text:Let AABC be a triangle. Denote the altitudes at <A, <B, and <C by AD, BE and CF, correspondingly. That is, let E and F be the feet of the altitudes of AABC. Let H be the orthocenter of AABC. Prove that the four points A, F, H, and E lie on a circle.
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