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svet-max [94.6K]
4 years ago
6

The midpoints of a regular hexagon are connected to form a smaller hexagon. The small hexagon has perimeter 2sqrt3. What is the

perimeter of the large hexagon?
Mathematics
1 answer:
Ahat [919]4 years ago
6 0

Answer:

4

Step-by-step explanation:

x - length of side of larger hexagon

y - length of side of smaller hexagon

We know that,

x/y = \sqrt{3} /2

y = 2x/\sqrt{3}

Hence,

perimeter of             = (2/\sqrt{3}) * perimeter of smaller hexagon

larger hexagon

                                 = (2/\sqrt{3})*2\sqrt{3}  \\= 4

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