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Since the "slices" of an equilateral hexagon are equilateral triangles, the Pythagorean theorem will solve this problem: A squared plus B squared equals C squared, where A and B are the sides at right angle to each other and C is the hypoteneuse (long side). Slice a 10 inch tall equilateral triangle down the middle. The height A is 10 inches; the base B (1/2 of A) is 5 inches. 10 squared equals 100; 5 squared equals 25. Therefore, the length of each side of the equilateral triangle is the square root of 125, or approximately 11.18 inches. This is also the length of the sides of the hexagon in question.

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16y ago

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