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Heptagonal Beauty (Posted on 2018-12-02) Difficulty: 3 of 5
Let H be the point of intersection of the diagonal AD and BG of heptagon ABCDEFG. Let r be the perpendicular distance of point H to side AB.

Consider a scalene triangle whose vertices are some suitably chosen three vertices of the same regular heptagon. Let its inradius be R.

What is the ratio R : r?

No Solution Yet Submitted by Danish Ahmed Khan    
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  Subject Author Date
SolutionJer2018-12-04 11:47:27
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