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The Tiny Triangle (Posted on 2019-03-15) Difficulty: 4 of 5
Regular dodecagon ABCDEFGHIJKL with side length 1 is drawn. Segments AF, BG, and CH are then drawn.

A tiny little triangle is formed from the intersections of these segments. Find the area of this triangle.

No Solution Yet Submitted by Danish Ahmed Khan    
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Some Thoughts Geometer's Sketchpad approximation | Comment 1 of 2
A Geometer's Sketchpad diagram gives an approximate area of 0.01036, calculating by the shown area on the diagram divided by the square of the square of the length of segment AB.

You can see the diagram at this link:


  Posted by Charlie on 2019-03-15 17:30:47
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