Animated version (modifiable too), if interested: https://www.geogebra.org/m/kWmfeE4R @geogebra
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What is a centroid?
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Intersection of medians
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You missed a good occasion to cite
#Fermat: The lines (AX), (BY), and (CZ) concur at the Fermat-Torricelli point, making angles of 120°. -
The sum of distances: AM+BM+CM for point M in the plane reaches a minimum when M is the Fermat-Torricelli point. (If angles A, B, C <120°).
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Now try this: take a concave quadrilateral instead of triangle
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Did you know that Fermat is part of a battle royale for mathematicains ? See my pinned tweet! Thanks. Paul
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One needs 3 equilateral triangle to obtain one equilateral triangle. 3 losses - 1 win
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triangles are visually misleading, those are the centers, or at least close enough to be valid.
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Cool stuff. Not sure of the practical use of this property, though.
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