Question

Can anyone give me the answer of this question
​

Answer 1

side of triangle = x

we know that area of an equilateral triangle

$\sqrt{3} \div 4 \times {x}^{2}$

x is side of triangle

hence the answer proved!!!

Answer 2

Here side of a triangle = a

$herons \: formula = \sqrt{s(s - a)(s - b)(s - c)}$

$area \: = \: \frac{a + a + a}{2}$

$area = \frac{3a}{2}$

$area= \sqrt{ \frac{3a}{2} ( \frac{3a}{2} - a)( \frac{ 3a}{2} - a)( \frac{3a}{2} - a) }$

$area= \sqrt{ \frac{3a}{2}( \frac{a}{2})( \frac{a}{2})( \frac{a}{2})}$

$area = \sqrt{ \frac{3 {a}^{4} }{16} }$

$area = \frac{ \sqrt{3} {a}^{2} }{4}$

Hence Proved.

Mark as Brainlist!!