Question

measure of one side of an equilateral triangle is 12cm.its area is given by

Answer 1

plzz mark as brainlist

Answer 2

Given:

The side of an equilateral triangle = 12 cm

To find:

The area of the equilateral triangle.

Solution:

We know that, area of an equilateral triangle is

$Area=\dfrac{\sqrt{3}}{4}a^2$

where, a is the side of the equilateral triangle.

Putting a=12, we get

$Area=\dfrac{\sqrt{3}}{4}\times (12)^2$

$Area=\dfrac{\sqrt{3}}{4}\times 12\times 12$

$Area=\sqrt{3}\times 3\times 12$

$Area=36\sqrt{3}$

Therefore, the area of the equilateral triangle is $36\sqrt{3}\text{ cm}^2$.