Thursday, August 20, 2009

Problem 343. Hexagon, Inscribed Circle, Tangent, Semiperimeter.

Proposed Problem
Click the figure below to see the complete problem 343 about Hexagon, Inscribed Circle, Tangent, Semiperimeter.

 Problem 343. Hexagon, Inscribed Circle, Tangent, Semiperimeter.
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Complete Problem 343
Level: High School, SAT Prep, College geometry

1 comment:

  1. a hexagon ABCDEF with the inscribed circle O tangent te sides at G,H,M,N,P and K.
    we have:AG=AK,BG=BH,HC=CM,MD=DN,NE=EP&PF=FK.
    s=(AB+BC+CD+DE+EF+FA)/2
    s=(AG+GB+BH+HC+CM+MD+DN+NE+EP+PF+FK+KA)/2
    s=(AG+BG+BG+CM+CM+MD+MD+EP+EP+PF+PF+AG)/2
    s=AG+BG+CM+MD+EP+PF
    s=AB+CD+EF
    Or:s=BC+DE+AF

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