Question

perimeter of equilateral triangle is 180 cm . find the area​

Answer 1

Answer:

1558.84 cm² is the area

Step-by-step explanation:

Perimeter of △ABC= 180cm. So the side of an equilateral triangle is 60cm. Area of the equilateral triangle is given as Area = √34x2 where x is the side of the equilateral triangle. Hence the area of the triangle is 1558.84cm2.

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Answer 2

ANSWER:

Given:

• Perimeter of equilateral triangle = 180cm

To Find:

• Area of the triangle

Solution:

We know that, perimeter is the sum of all sides of a polygon.

Also, all the sides have equal lengths in an equilateral triangle.

Let the length of each side of the triangle be x cm.

So,

⇒ x + x + x = 180cm

⇒ 3x = 180 cm

⇒ x = 180/3 cm

⇒ x = 60cm

We know that,

Area of an equilateral triangle = (√3)/4 * a²

Here, a is the length of each side.

So,

⇒ Area = (√3)/4 * (60)²

⇒ Area = (√3)/4 * 3600

⇒ Area = 900√3 cm² ≈ 1558.85 cm²

Formulae Used:

• Perimeter = Sum of all sides
• Area of equilateral triangle = (√3)/4 * (a)² , a is the length of each side.