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Have you a nice solution for this problem?
Thank you very much
Thank you very much
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Moscow Geometry Problems
nataliaonline75 1
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by MathLuis
Source: MMO 2003 10.4
Let M be the intersection point of the medians of ABC. On the perpendiculars dropped from M to sides BC, AC, AB, points A1, B1, C1 are taken, respectively, with A1B1 perpendicular to MC and A1C1 perpendicular to MB. prove that M is the intersections pf the medians in A1B1C1.
Any solutions without vectors? :)
Any solutions without vectors? :)
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Nice problem about a trapezoid
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#2
Apr 21, 2025, 7:11 PM
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This problem is solved in the article "Quadrilateral gratings" by Nikolai Ivanov Beluhov in Kvant №10 2017 (page 19, problem 2, in Russian).
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