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You can make 5 triangles out of 9 toothpicks.

With 6 toothpicks, make a large triangle with 2 toothpicks for each side. Now, take individual toothpicks, and make a smaller triangle inside the larger one by joining the midpoints of the sides of the previous triangle. (The vertices of the smaller triangle are the midpoints of the sides of the larger one).

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Q: How do you make five triangles with ten toothpicks?
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