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Hexagon's square coverage (Posted on 2022-01-21)

P₁P₂P₃P₄P₄P₅ is a regular hexagon. A and B are movable points on P₁P₂ and P₂P₃ respectively.

ABCD is a square with C and D in the same side of AB as P₄. ABC'D' is a square on the other side.

Find the total area of all points that can be on segment CD.

Find the total area of all points that can be on segment C'D'.

No Solution Yet Submitted by Jer

Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

ah-ha, what I was missing...

Comment 3 of 3 |

Yes, the side CD is AB away, but the distance AB is variable, so the 'tracings' are a variable distance away, and thus the resulting loci of points is not parallel nor the same triangular shape.

BTW I didn't see a link to the geometry drawing - perhaps it's too big of a hint anyway... Thanks

Edited on January 21, 2022, 10:20 am

Posted by Steven Lord on 2022-01-21 10:18:03

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