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Constructing a Regular Hexagon from Triangles


Best Answer Rainman, 16 November 2013 - 08:13 PM

Spoiler for ruler and compass

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#1 BMAD

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Posted 16 November 2013 - 03:31 AM

In the figure, triangles ABC, DEF, and GHJ are congruent isosceles triangles.  Angles B and C are 80 degrees.  Points AEFC, EHJD, DFB, and GHF are collinear.  Without drawing a circle, show how to mark the corners of a perfect hexagon on the diagram, using only a compass set to a constant length.  Prove it's a perfect hexagon.

 

0703ThreeTriangles.jpg

 


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#2 Rainman

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Posted 16 November 2013 - 08:13 PM   Best Answer

Spoiler for ruler and compass


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#3 bonanova

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Posted 18 November 2013 - 09:16 AM

Cool. I didn't find the initial 120o angle.


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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
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#4 plainglazed

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Posted 18 November 2013 - 06:35 PM

Spoiler for similar to Rainman


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#5 BMAD

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Posted 19 November 2013 - 05:42 AM

yeah, i took it for granted that we could draw a straight line... :P


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