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Senior Member
Posted 22 February 2013 - 05:42 AM
Conjecture: As long as each of the two smaller pentagons are formed by joining the midpoints of the next larger pentagon, the two ratios of the areas will always be equal and the two ratios of the perimeters will always be equal, no matter what shape the largest pentagon has.
Under what conditions is this true?
bonanova
Posted 22 February 2013 - 05:54 AM
Conjecture: By saying "whatever shape the pentagon has" you are not limiting the discussion to regular pentagons.
True?
Senior Member
Posted 22 February 2013 - 05:56 AM
Conjecture: By saying "whatever shape the pentagon has" you are not limiting the discussion to regular pentagons.
True?
yes. any pentagon
bonanova
Posted 22 February 2013 - 06:46 AM
Spoiler for Looks like
Senior Member
Posted 22 February 2013 - 01:41 PM
Spoiler for Looks like
bonanova
Posted 23 February 2013 - 09:47 PM
Not all them.
Spoiler for Looks like
I'm not making any progress. Any tips for analyzing this?
Senior Member
Posted 25 February 2013 - 01:00 AM
Spoiler for help
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