Question

Area of an equilateral triangle is 100 root 3 cm then perimeter of this triangle will be

Answer 1

Hello friend ☆☆☆☆

This is your answer..

Area of an equilateral ∆

= √3*a^2/4 = 100√3

= a^2/4 = 100

= a^2 = 400

= a=20cm

If length is 20 cm

Then the perimeter of triangle is

= 3 ×a

=3×20 cm

= 60 cm.

Hope it helps..☆☆☆

Answer 2

Answer:

The perimeter of the triangle is 60 cm.

Step-by-step explanation:

As per the question,

We need to find the perimeter of an equilateral triangle whose are is $100\sqrt{3}\: cm^{2}$

As we know,

GIVEN THAT:

Are of the equilateral traingle is = $100\sqrt{3}\: cm^{2}$

Lets assume the sides be $a\:cm$

Since, the area of equilateral triangle is:

$\frac{\sqrt{3} }{4} a^{2} =100\sqrt{3}\\\\ a^{2} =400\\\\a=20\:cm$

So, each side of the triangle is 20 cm.

Now, to find the perimeter:

Perimeter = 3×(sides)

=3×20 cm

=60 cm

Hence,

The perimeter of the triangle is 60 cm.

#SPJ3