The height of an equilateral triangle is 18 meters. Find the perimeter of the triangle

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30-01-2015
Mathematics

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The height of an equilateral triangle is 18 meters. Find the perimeter of the triangle

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Konrad509idn Konrad509idn · Answer 1 · 2015-01-30T12:08:40-05:00

Konrad509idn Konrad509idn

30-01-2015

[tex]h=18=\dfrac{a\sqrt3}{2}\\\\18=\dfrac{a\sqrt3}{2}\\ 36=a\sqrt3\\ a=\dfrac{36}{\sqrt3}\\ a=\dfrac{36\sqrt3}{3}\\ a=12\sqrt3\\\\ p=3a\\ p=3\cdot12\sqrt3\\ p=36\sqrt3[/tex]

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