Rectangles

How many rectangles can be formed in a 72 - sided regular polygon by joining its vertices


Try my set : Let's play with polygons


The answer is 630.

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2 solutions

Aniket Sanghi
Apr 2, 2016

By symmetry , out of 36 vertices we have to select 2 and the other 2 will be automatically adjust.

Hence ans 36C2

Avi Ghanshani
Apr 6, 2016

Out of 36 diagonals we have to select any two. Hence ans is 36C2.

True! Nice one!

Aniket Sanghi - 5 years, 2 months ago

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?How I didnt understood with diagonals.. Can you please explain?

Md Zuhair - 3 years, 2 months ago

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