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#1 2013-09-30 04:45:25

jacks
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Total no. of Triangle,Square and Rectangle

[1] Calculation of Total no. of Triangles form joining any 3  points in a Given Figure.

[2] Calculation of Total no. of Square form joining any 4 points in a Given Figure.

[2] Calculation of Total no. of Rectangle form joining any 4 points in a Given Figure.

#2 2013-09-30 07:11:46

bob bundy
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Re: Total no. of Triangle,Square and Rectangle

hi jacks,

You can have squares that are 1 by 1; 2 by 2; 3 by 3; and 4 by 4.

EDIT:  You should also count the squares that are at 45 degrees to the grid.

There's an easy pattern to this, so finding that is a good beginning to the harder rectangle case.

Bob

Last edited by bob bundy (2013-09-30 07:13:07)

You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

#3 2013-09-30 09:11:50

bobbym

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Re: Total no. of Triangle,Square and Rectangle

Hi;

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.