The area of an equilateral triangle is $16\sqrt3\ cm^2$, what is the length of each side?

Given:

The area of an equilateral triangle is $16\sqrt3$ cm.
To do:

We have to find the length of each side.
Solution:
 We know that,

Area of an equilateral triangle of length $a$ is $\frac{\sqrt3}{4}a^2$.

Let the length of the side of the triangle be $x$.

Therefore,

$\frac{\sqrt3}{4}x^2=16\sqrt3$

$x^2=16\sqrt3\times\frac{4}{\sqrt3}$

$x^2=64$

$x^2=8^2$

$x=8\ cm$

The length of each side of the triangle is $8\ cm$.

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Updated on: 10-Oct-2022

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