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How many different isosceles right triangles can be formed from three dots in the grid below? Two examples are shown. Thank you in advance!
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How many different isosceles right triangles can be formed from three dots in the grid below? Two examples are shown.

Thank you in advance!

How many different isosceles right triangles can be formed from three dots in the-example-1
User Tfhans
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6.1k points

1 Answer

4 votes

Answer:

28

Explanation:

The attached figure shows 7 triangles (counting the original 2). Each has degree-4 rotational symmetry about the center of the figure, so there can be 7×4 = 28 triangles.

How many different isosceles right triangles can be formed from three dots in the-example-1
User Preeti Joshi
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5.6k points
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