Question

find the area of an equilateral triangle with side 4 root 3 cm

Answer 1

hope it will help you

Answer 2

Answer:

Required area of the triangle is 12√3 square cm.

Step-by-step explanation:

Here given,

Side of a equilateral triangle is $4 \sqrt{3} \: cm$

Here we want to find area of the triangle.

We know,

Area of equilateral triangle is, where a is the length of one side of the triangle.

Triangle here equilateral.

Triangle here equilateral.So each sides are equal.

and one side here given $4 \sqrt{3} \: cm$

Area of equilateral triangle

$= \frac{ \sqrt{3} }{4} {a}^{2} \\ = \frac{ \sqrt{3} }{4} \times {(4 \sqrt{3}) }^{2} \\ = \frac{ \sqrt{3} }{4} \times (16 \times 3) \\ = \frac{ \sqrt{3} }{4} \times 48 \\ = 12 \sqrt{3} \: {cm}^{2}$

Hence, required area of the triangle is 12√3 square cm.