Question

The area of an equilateral triangle is 36sq.m. Find its sides

Answer 1

Answer:

• Side of the equilateral triangle = 9.118 m

Step-by-step explanation:

Given that:

• Area of an equilateral triangle is 36 m².

To Find:

• Side of the equilateral traingle.

Let the side of the equilateral triangle be x.

Formula used:

• Area of an equilateral triangle = (√3 × x²)/4

Finding the side of the equilateral triangle:

Area of equilateral triangle = (√3 × x²)/4

⇒ 36 = (√3 × x²)/4

⇒ (√3 × x²) = 36 × 4

⇒ x² = 144/√3

⇒ x² = (48 × √3 × √3)/√3

⇒ x² = 48√3

⇒ x = √(48√3)

⇒ x = 9.118 (approx.)

∴ Side of the equilateral triangle = 9.118 m

Answer 2

Answer:

Given :-

• The area of an equilateral triangle is 36sq.m.

To Find :-

• Sides ??

Solution :-

Let, the side be a cm

Formula Required :

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

According to the question,

⇒ (√3/4)a² = 36

⇒ (√3)a² = 36 × 4

⇒ (√3) × a² = 144

⇒ a² = 144/√3

⇒ a² = 83.13

⇒ a = √83.13

➠ a = 9.118 (approx)

∴ The side of an equilateral triangle is 9.118 m (approx) .