alliecatsun0 alliecatsun0
  • 09-05-2021
  • Mathematics
contestada

Find the area of a regular hexagon with a side length of 10 cm

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miguelfdezcp00 miguelfdezcp00
  • 09-05-2021

60 is my resultados of area

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victormoses117
victormoses117 victormoses117
  • 09-05-2021

Answer

[tex]54 \sqrt{3} [/tex]

Step-by-step explanation:

Each interior angle is 120°for an hexagon.... Bisecting each will give an angle of 60° and thus dividing the hexagon into 6 equilateral triangles as the Bisecting lines meet at the centre of the hexagon. So find area of each equilateral triangle and multiply by 6

Area=

[tex] \frac{1}{2} b \times h \times 6 \\ = 3bh \\ = 3 \times 6 \times 3 \sqrt{3} [/tex]

[tex] = 54 \sqrt{3 } cm ^{2} [/tex]

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