Math, asked by nikhilminote247, 11 months ago

find the side of an equilateral triangle whose area is 18 under root 3 cm^2​

Answers

Answered by Anonymous
2

\huge\purple{\underline{\underline{\pink{Ans}\red{wer:-}}}}

\sf{Side \ of \ equilateral \ triangle \ is \ 6\sqrt2 \ cm}

\sf\orange{Given:}

\sf{\implies{Area \ of \ equilateral \ triangle=18\sqrt3 \ cm^{2}}}

\sf\pink{To \ find:}

\sf{Side \ of \ the \ equilateral \ triangle.}

\sf\green{\underline{\underline{Solution:}}}

\sf{Area \ of \ equilateral \ triangle=\frac{\sqrt3}{4}×side^{2}}

\sf{... formula}

\sf{\therefore{18\sqrt3=\frac{\sqrt3}{4}×side^{2}}}

\sf{side^{2}=18\sqrt3×\frac{4}{\sqrt3}}

\sf{side^{2}=18×4}

\sf{side^{2}=36×2}

\sf{On \ taking \ square \ root \ of \ both \ sides}

\sf{side=6\sqrt2 \ cm}

\sf\purple{\tt{\therefore{Side \ of \ equilateral \ triangle \ is \ 6\sqrt2 \ cm}}}

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