hard pentagon

chiro

MHF Helper
Sep 2012
6,608
1,263
Australia
Hey kastamonu.

Do you have any information about the pentagon like its sides or distance from the center of gravity?

Based on what you have said there are many solutions for alpha.
 
Jun 2013
1,152
615
Lebanon
M and N are the midpoints of BC and CD resp.

triangles OMF and ONK are congruent
 
Oct 2012
680
4
Istanbul
I got it. Triangle is isosceles. Angle FOK is 72 and alpha is 54.
 
Dec 2012
1,145
502
Athens, OH, USA
Just a remark that there is nothing magic in this regard about the pentagon.

 
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