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he points of this 3-by-3 grid are equally spaced horizontally and vertically. How many different sets of three points of this grid can be the three vertices of a triangle?

 

 Jun 9, 2022
 #1
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[T]he points of this 3-by-3 grid are equally spaced horizontally and vertically. How many different sets of three points of this grid can be the three vertices of a triangle?     

 

     9C3  =        84     

     minus             8     

     answer         72     

 

I based this answer on the reasoning that a     

triangle can be drawn using any three points     

in the grid, except when those three points lie     

in a straight line.     

.     

 Sep 29, 2025

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