Math, asked by vedant44e, 3 months ago

If the perimeter of an equilateral triangle is 180 cm. Then its area will be ___​

Answers

Answered by shlokatomar
4

Answer:

The area of the triangle is 900√3 cm².

Step-by-step explanation:

  • Given:

Perimeter of the equilateral triangle (P) = 180 cm

  • To find:

Area of the equilateral triangle

  • Method to find:

To find the area, we need to find the side of the triangle (a).

In an equilateral triangle, all sides are equal. So,

P = 3 * a

⇒ 180 = 3 * a

⇒ a = 180/3

⇒ a = 60 cm

Now, we can find the area of the equilateral triangle.

Area = a² * √3/4

⇒ Area = (60 * 60 *√3)/4

⇒ Area = (3600√3)/4

⇒ Area = 900√3 cm²

Hope it helps!

Attachments:
Answered by niharikapadhi1984
0

Answer:

Area = 900√3

Step-by-step explanation:

Hope it helps u dear.....

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