Given an equilateral triangle LMN, let X lie on ML extended, and Y lie on MN, such that LX = NY.
Show that the point P where XY and LN intersect is the midpoint of XY.
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A triangle problem
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Samurai Puzzle - A Square in a Triangle
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Edited by Richard Walker, Friday, 2 Oct 2020, 09:23
This is a Sangaku-like puzzle (see https://learn1.open.ac.uk/mod/oublog/viewpost.php?post=230691)
We have a square inscribed in a triangle of known base b and height h, as shown. What is the length s of the square's side?
I called this a Samurai puzzle because many of the original sangaku were the work of Samurai.
(Solution in Comments.)
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