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The area of a given hexagon is equal to the area of an equilateral triangle whose perimeter is 36 inches. Find the length of a side of the regular hexagon.

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Q: The area of a given hexagon is equal to the area of an equilateral triangle whose perimeter is 36 inches Find the length of a side of the regular hexagon?
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Can a regular hexagon be tessellated?

Yes. A regular tessellation can be created from either an equilateral triangle, a square, or a hexagon.


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What is the perimeter of a regular hexagon with radius 12?

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Is a triangle in a regular hexagon an equilateral triangle?

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What is the perimeter of hexagon whose area is 24?

A regular hexagon is made up of six congruent equilateral triangles, the area of an equilateral triangle can be computed using the formula s2(√3)/4, where s is the length of one side of the triangle. Since the hexagon comprises 6 equilateral triangles, each triangle has an area of 24/6 = 4. Solving for 4 = s2(√3)/4 gives s = 4/(3^(1/4)). Since one side of the triangle is also one side of the hexagon, we can multiply this by 6 to find the perimeter of the hexagon: 6 × 4/(3^(1/4)) = 8×3^(3/4) ≈ 18.23 Therefore, the perimeter of a hexagon whose area is 24 is 8×3^(3/4) or approximately 18.236056455638221135948506015709