Question

if the area of equilateral triangle is 6 root 3 cm square then find the perimeter of the triangle. plsssss answer fast
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Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Answer:

The answer to the given question is the perimeter of the triangle is 24 cm.

Step-by-step explanation:

Given:

The area of the triangle is 16√3 sq cm.

To find :

the perimeter of a triangle.

Solution:

A triangle is a polygon which has three sides, three vertices and three angles.

The sum of all three angles is equal to 180°.

An equilateral triangle is a triangle where all the sides and angles are equal.

Each interior angle of an equilateral triangle will be 60°.

Therefore, the area of the equilateral triangle will be

$\frac{ \sqrt{3} }{4} {(side)}^{2}$

The perimeter of the triangle will be

$3(side).$

let the side of the triangle be x.

It is given that the area

$\frac{ \sqrt{3} }{4} ( {x}^{2} ) = 16 \sqrt{3}$

then

${x}^{2} = \frac{4}{ \sqrt{3} } \times 16 \sqrt{3}$

the √3 in numerator and denominator will get cancelled.

${x}^{2} = 4 \times 16 \\ {x}^{2} = 64 \\ x = 8cm$

The formula to find the perimeter of a triangle will be three times the side.

$3(8) = 24cm$

The perimeter of the equilateral triangle will be 24cm.

# spj3

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