Question

find the length of each side of an equilateral triangle having an aera of 16root3 cm sq

Answer 1

area of equilateral ∆ = √3/4 (side)²
√3/4 a² = 16√3
a²/4 = 16
a/2 = 4. (taking square root)
a = 8

Hence, the length of the equilateral triangle is $8 cm.$

Answer 2

Hiii..

$= > area \: of \: equilateral \: triangle \: = \frac{ \sqrt{3} }{4} \times ( {side})^{2} \\ \\ = > given \: .. \: area \: of \: equi. \: triangle = 16 \sqrt{3} \: {cm}^{2} \\ \\ = > \frac{ \sqrt{3} }{4} \times ( {side})^{2} = 16 \sqrt{3} \: {cm}^{2} \\ \\ = > ( {side})^{2} = \frac{16 \sqrt{3} \times 4}{ \sqrt{3} } \\ \\ = > ( {side})^{2} = 64 \\ \\ = > side = \sqrt{64} = 8 \: cm \: ans \\ \\ hope \: this \: helps :)$