Sunday, June 23, 2013

Problem 891: Equiangular Octagon, Metric Relations, Sides, Auxiliary Lines

Geometry Problem. Post your solution in the comments box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the complete problem 891.

Online Geometry Problem 891: Equiangular Octagon, Metric Relations, Sides, Auxiliary Lines

3 comments:

  1. Distance between DE & AH = 6+5 = 7+x
    x = FG = 4

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  2. Like Jacob Ha, I extended DE, BC, AH and GF
    DE line meet BC line at W
    DE line meet GF line at T
    AH and FG at U
    and AH and BC at K
    WTUK is a rectangle [easy to prove]
    WK=TU
    WK=d/sqrt(2)+5+a/sqrt(2)
    TU=c/sqrt(2)+d/sqrt(2)+x
    6+5=x+7
    x=4

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    Replies
    1. that was really helpful

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