Respuesta :

Answer: the sides correspond to lengths 3, 4, and 5

Explanation: We are given the areas A of the regular hexagons. The general formula for an area of such a hexagon is:

[tex]A=\frac{3\sqrt{3}}{2}a^2[/tex]

where a is the side length of the hexagon.

Use the formula to solve for a:

[tex]a = \sqrt{\frac{2A}{3\sqrt{3}}}[/tex]

for the three hexagon areas we are given:

a = 5  (yellow)

a = 4  (blue)

a = 3  (red)

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