Question

If its perimeter of an equilateral
triangle is 180 cm, what will be its area?

​

Answer 1

Answer:

1800cm^2

Step-by-step explanation:

The formula for the area of a triangle is 1/2ab

a = 60                                        [Since triangle is equilateral all sides are equal]

b = 60                                       [Since triangle is equilateral all sides are equal]

1/2 x 60 x 60

= 1/2 x 3600

= 1800cm^2

Answer 2

Answer:

≅1558.845

if (b=52) ⇒  answer = 1560

Step-by-step explanation:

a = side of the triangle

b = The diameter of an equilateral triangle

the perimeter of an equilateral  triangle = 3 × a

• 3 × a = 180 ⇒ a = 60
• b² + (a/2)² = a² ⇒ b² + 900 = 3600 ⇒ b = 30√3 ≅ 51.96 ≅ 52
• The area of an equilateral triangle = a × b ÷ 2 = 60 × 52 ÷ 2 = 1560