Triangle

Imagine you have an equilateral triangle 2 inches to a side. Prove that no matter how you draw 5 points within the triangle (anywhere in the interior or on the perimeter), there will be two points an inch or less away from each other.

Triangle
Imagine you have an equilateral triangle 2 inches to a side. Prove that no matter how you draw 5 points within the triangle (anywhere in the interior or on the perimeter), there will be two points an inch or less away from each other. |
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