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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?

Respuesta :

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 = [tex]\sqrt{3} /2[/tex]

y = [tex]2x/\sqrt{3}[/tex]

Hence,

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

larger hexagon

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

Answer:

answer above mine

Step-by-step explanation:

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