Question

find the area of equilateral triangle whose perimeter is 540 meters. answer it asap...........​

Answer 1

Answer:

14029.6 m²

Step-by-step explanation:

Given :

Perimeter of equilateral triangle is =540 m

=> a+a+a = 540

(where a= length of side of equilateral triangle )

=> 3a = 540

=> a= 540/3= 180 m

Area of equilateral triangle = (√3/4) x a^2

= (√3/4) x 180^2

= 14029.6 m²

Answer 2

Answer:

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Given :-

*Perimeter of Triangle = 540m

To Find :-

*Area of equilateral triangle = ?

Solution :-

Let the side of equilateral triangle to be 'x'm.

So,

Perimeter of triangle = Sum of all side

$X + X + X = 540 \: METERS$

$= > 3x = 540 \: metres$

$= > X = 540/3$

$= > X = 180 \: meters.$

So, side of equilateral triangle is 180 m.

Now,

Area of equilateral triangle =

$\frac{ \sqrt{3} }{4} \: \times \ \:side²$

Side of triangle = 180 m

$= > \frac{ \sqrt{3} }{4} \times ( {180}^{2})$

$= > \frac{ \sqrt{3} }{4} \times (32400)$

$= > 14,029.6115413 \: metres.$

Hence, the area of equilateral triangle is 14,029.6115413 metres.

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