Proposed Problem

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.

## Monday, March 2, 2009

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

Labels:
distance,
equilateral,
hexagon,
regular polygon,
triangle

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draw DKH perpendicular to e ( K on f, H on circle )

ReplyDelete=> 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 )

nice solution

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