Question

find the perimeter of an equilateral triangle given its area is 100√3m^2​

Answer 1

Step-by-step explanation:

HOPE THIS HELP YOU..........

Answer 2

SOLUTION

GIVEN

The area of an equilateral triangle is 100√3 m²

TO DETERMINE

The perimeter of the triangle

FORMULA TO BE IMPLEMENTED

If a unit is the side of an equilateral triangle then

Area of the triangle

$\displaystyle \sf{ = \frac{ \sqrt{3} }{4} {a}^{2} \: \: \: \: \: sq \: unit}$

Perimeter of the triangle = 3a unit

EVALUATION

Let the side of the equilateral triangle = a metre

Then area of the triangle

$\displaystyle \sf{ = \frac{ \sqrt{3} }{4} {a}^{2} \: \: \: {m}^{2} }$

So by the given condition

$\displaystyle \sf{ \frac{ \sqrt{3} }{4} {a}^{2} = 100 \sqrt{3} }$

$\displaystyle \sf{ \implies {a}^{2} = 100 \sqrt{3} \times \frac{4}{ \sqrt{3} } }$

$\displaystyle \sf{ \implies {a}^{2} = 400 }$

$\displaystyle \sf{ \implies {a}^{} =20 }$

Hence the perimeter of the triangle

= ( 3 × 20 ) metre

= 60 metre

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. Measure of supplement of 179 degrees is

https://brainly.in/question/23762517

2. Find the diameter of radius = 43cm

https://brainly.in/question/26848116