Question

The height of an equilateral triangle is √6 cm. find Its area​

Answer 1

Sum ÷

$\color{blue}{height \: of \: equilateral \: triangle = > \sqrt{6}cm }$

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Solution ÷

Let side of equilateral TRAINGLE = a cm

$\color{red}h = \frac{ \sqrt{3} }{2} a \\ \\ \color{blue} \sqrt{6} = \frac{ \sqrt{3} }{2} a \\ \\ \color{orange}\frac{ \sqrt{6} \times 2 }{ \sqrt{3} } = a \\ \\ \color{hotpink} \boxed{ a = >2 \sqrt{2} cm } \\ \\ \color{red}area = \frac{ \sqrt{3} }{4} {a}^{2} \\ \\ \color{skyblue} area = \frac{ \sqrt{3} }{4} \times ( 2\sqrt{2} {)}^{2} \\ \\ \color{pink}area = > \frac{ \sqrt{3} }{4} \times 8cm \\ \\ \color{red} \boxed{area = > 2 \sqrt{3} c {m}^{2} }$

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Area of equilateral triangle is 2√3cm²...

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Hope it's helps you ☺️✨