Proving geometry about altitude.

Asked May 29 '19 at 15:52

Active May 29 '19 at 15:52

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BE and CF are altitude of triangle ABC, and M is the midpoint of BC. Show that ME=MF

I'd like to know if my attempt is correct. I let M be the center of circle O,

since ∠BFC= 90 and ∠BEC = 90, I conclude that F and E is a point on circle O.

So ME=MF = radius of circle O

asked May 29 '19 at 15:52

Khunpol Jermsiri

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Correct, and well done! I would have missed this. – Oscar Lanzi May 29 '19 at 15:55
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@OscarLanzi Thanks! – Khunpol Jermsiri May 29 '19 at 15:56
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My God, This is an absolute slick way to prove this. Well done! – rikusp2002 May 29 '19 at 15:57

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