Latest Maths Olympiad Aptitude Question SOLUTION: Let BE and CF be the altitudes of an acute triangle ABC, with E on AC and F on AB. Let O be the point of intersection of BE and CF. Take any line KL through O with K on AB and L on

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(#M40021951) MATHS OLYMPIAD question GEOMETRY Keep an EYE

Let BE and CF be the altitudes of an acute triangle ABC, with E on AC and F on AB. Let O be the point of intersection of BE and CF. Take any line KL through O with K on AB and L on AC. Suppose M and N are located on BE and CF respectively, such that KM is perpendicular to BE and LN is perpendicular to CF. Prove that FM is parallel to EN.

Asked In Maths Olympiad MAN (10 years ago)

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