Monday, March 2, 2009

Problem 262: Regular Hexagon inscribed in a circle, sum of distances

Proposed Problem
Problem 262: Regular Hexagon inscribed in a circle, sum of distances.

See complete Problem 262 at:
gogeometry.com/problem/p262_regular_hexagon_inscribed_circle_distance.htm

Level: High School, SAT Prep, College geometry

Post your solutions or ideas in the comments.

2 comments:

  1. draw DKH perpendicular to e ( K on f, H on circle )
    => GDK, KHF equilat (ang GDK=GKD=60,GDK=GFH arc GBAH)

    join H to B => BHK = 60 => AHFG trapezoid => HF = b = KF

    GK + KF = f = d + b ( at the same way, e = a + c )

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