Question

The area of an equilateral triangle is 64 73 cm?. Find the length
of each side of the triangle .​

Answer 1

Answer:

16 cm

Step-by-step explanation:

The answer is found out using trigonometry. You can also try it be Heron's formula!

Answer 2

$area \: of \: equilateral \: triangle \: = \frac{ \sqrt{3} }{4} ( {a}^{2} )$

$\implies{ {64 \sqrt{3} } } = \frac{ \sqrt{3} }{4} {a }^{2} \\ \implies \frac{64 \times \sqrt{3 } \times 4 }{ \sqrt{3} } = {a}^{2} \\ \implies64 \times 4 = {a}^{2} \: \: \: \: \: \\ \implies \sqrt{64 \times 4} = {a}^{2} \: \: \\ \implies8 \sqrt{4} = a \: \: \: \: \: \: \: \: \: \: \:$

$\color{magenta}{Hope \: it \: helps \: !!}$