Question

if the area of an equilateral triangle is under root 3 by 4 cm square then find the length of each side
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Answer 1

AnswEr:

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

We know that,

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

$\rule{150}2$

= √3/4 = √3/4a²

= a² = √3/4 × 4/√3

= a² = 1

= a = √1

= a = 1 cm

Hence, Length of each side is 1cm.

Answer 2

Answer:

$\star\large{\underline{\boxed{\mathfrak\blue{Length \: of \: each \: side = 1 \:cm }}}}$

Step-by-step explanation:

Question:-

◗ If area of an equilateral triangle is under root 3 by 4 cm².Then find the length of each side.

Solution:-

Given:-

◗Area of an equilateral triangle=√3/4 cm²

To find:-

◗ Side of triangle = ?

As we know,

$\star\large{\boxed{\sf\green{Area \: of \: equilateral \: triangle =\dfrac{ \sqrt{3} }{4}a^2 }}}$

Here,a = Length of each equal side.

• Putting values:-

$\dashrightarrow\sf \dfrac{\sqrt{3}}{4} = \dfrac{\sqrt{3}}{4}a^2 \\\\\dashrightarrow\sf a^2 = \dfrac{\sqrt{3}}{4} \times \dfrac{4}{\sqrt{3}}\\\\\dashrightarrow\sf a^2 = 1 \\\\\dashrightarrow\sf a = \sqrt{1}\\\\\dashrightarrow\large{\underline{\boxed{\sf\pink{Side(a) = 1 \: cm}}}}$

$\therefore{\underline{\textsf{Each \:side \: of \: triangle ={\textbf{ 1 \: cm }}}}}$