Jingle bells

Two equilateral triangles share a vertex. What is the area of their overlap region?

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The overlap area is 7√3/12.

Solution by Ferdi Yılmaztürk.


For Xmas a funny song
First it was a drinking song
And written to accompany a sleigh
To travel and get away
With nice sleigh bells
And a jingle jangle sound
For travellers so proud
For lovers in a sleigh ride
In distant forests or fields
Where jingle bells are bright


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