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3 equilateral triangles in a rectangle (Posted on 2020-02-28) Difficulty: 3 of 5
Let ABCD be a rectangle with DA=12.
ABJ is an equilateral triangle with J inside ABCD.
CHI and EGF are congruent equilateral triangles with E and F on DA, H on CB, J on FG, and E, I, G, H collinear.

Find EF.

See The Solution Submitted by Jer    
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re: My attempt Comment 2 of 2 |
(In reply to My attempt by tomarken)

I just posted my solution.

Yours has some errors:

J is not necessarily on line as EH.  (But it can be - you'd need to show this.  Then I and J coincide and the solution is simple.)

JB is not equal to EF.  Its the shorter side of BJH that's equal.  (The solution becomes simple.)

  Posted by Jer on 2020-03-14 17:39:47
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