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2023 BIMC keystage2-EMIC team Question 10

xIMC · 2023 BIMC keystage2-EMIC team

Question 10

The rhombus shape below is formed by using 25 dots arranged in a triangular grid. The distances between any two adjacent dots are equal. What is the number of equilateral triangles that can be drawn with 3 dots from these 25 dots as vertices?

Question illustration

Paper instruction: Give a full solution.