owldoesthings owldoesthings
  • 26-03-2018
  • Mathematics
contestada

Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 6-inch radius A = sq. in.

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jdoe0001 jdoe0001
  • 26-03-2018
[tex]\bf \textit{area of an equilateral triangle}\\\\ A=\cfrac{s^2\sqrt{3}}{4}\qquad \begin{cases} s=length~of\\ \qquad a~side\\ -------\\ s=6 \end{cases}\implies A=\cfrac{6^2\sqrt{3}}{4}\implies A=\cfrac{36\sqrt{3}}{4} \\\\\\ A=9\sqrt{3}[/tex]
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lewser321
lewser321 lewser321
  • 19-02-2021

Answer:

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

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