Question

if the area of an equilateral triangle is under root 3 by 4 cm square then find the length of each side​

Answer 1

$\huge\bf{\underline{\purple{Solution:-}}}$

Let the length of side of Equilateral Triangle be a cm.

$\bf\underline{\red{\:\:\:\:\:\:\:\:Then:-\:\:\:\:\:\:\:}}$

${\gray{ \underbrace{\boxed{\underline{\underline{\blue{ \tt Area\:of\: equilateral\: triangle = \dfrac{\sqrt{3}}{4}a^2 }}}}}}}$

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$\large\bold{\underline{\sf{Putting\:Values:-}}}$

$\longrightarrow \sf {\dfrac{\sqrt{3}}{4} = \dfrac{\sqrt{3}}{4}a^2}$

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$\longrightarrow \sf {a^2 = \dfrac{\sqrt{3}}{4} \times \dfrac{4}{\sqrt{3}} }$

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$\longrightarrow \sf {a^2 = 1}$

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$\longrightarrow \sf {a = \sqrt{1} }$

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$\longrightarrow{\underline{\boxed{\sf{a = 1\:cm}}}}$

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Answer 2

Answer :-

• Let the length of Side of Equilateral Triangle = a cm.

We know that,

$\small{\sf{\pink{Area\: of \: Equilateral\: Triangle \:=\: \dfrac{\sqrt{3}}{4} \times a^2}}}$

√3/4 = √3/4a²

➝a² = √3/4 × 4/√3

➝ a² = 1

➝ a = √1

➝a = 1 cm

Hence, Length of each side is 1cm.