The area of an equilateral triangle with side | vedclass

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(A) The area of an equilateral triangle is given by the formula: $	ext{Area} = \frac{\sqrt{3}}{4} 	imes (	ext{side})^2$. Given the side length is $

Vedclass · Accepted Answer

$5.196$

Vedclass · Answer

(A) The area of an equilateral triangle is given by the formula: $	ext{Area} = \frac{\sqrt{3}}{4} 	imes (	ext{side})^2$. Given the side length is $2\sqrt{3} \, cm$. Substituting the value into the formula: $	ext{Area} = \frac{\sqrt{3}}{4} 	imes (2\sqrt{3})^2$ $= \frac{\sqrt{3}}{4} 	imes (4 	imes 3)$ $= \frac{\sqrt{3}}{4} 	imes 12$ $= 3\sqrt{3} \, cm^2$. Using the value $\sqrt{3} \approx 1.732$: $	ext{Area} = 3 	imes 1.732 = 5.196 \, cm^2$.

The area of an equilateral triangle with side $2 \sqrt{3} \, cm$ is (in $cm^2$):

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