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The 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 an isosceles triangle?

 Feb 5, 2023
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The number of different sets of three points of this 3-by-3 grid that can be the three vertices of an isosceles triangle is 8. The 8 sets of three points are: (1,1), (3,1), (3,3); (1,1), (3,1), (1,3); (1,1), (1,3), (3,3); (1,3), (3,1), (3,3); (1,1), (2,2), (3,1); (1,1), (2,2), (1,3); (2,2), (3,1), (1,3); (2,2), (3,1), (3,3).

 Feb 5, 2023

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