Question

if the area of an quadilatrial triangle having an area of 36route 3 then perimeter of the triangle is​

Answer 1

Perimeter of the triangle is 36 cm

Answer 2

GIVEN :-

★ Area of an equilateral triangle = 36√3 unit².

TO FIND :-

★ The perimeter of equilateral triangle.

SOLUTION :-

As we know that the area of equilateral triangle is given by,

⇒ Area = √3/4 × (side)²

⇒ 36√3 = √3/4 × (side)²

⇒ 36√3 × 4 = √3 × (side)²

⇒ 144√3 = √3 × (side)²

⇒ (12)²√3 = √3 × (side)²

On comparing both the sides we get,

⇒ (side)² = (12)²

⇒ Side = 12 units.

As we know that , in equilateral triangle all the sides are equal . So, now we can say that,

⇒ Side = Side = Side = 12 units.

Now , as we know that the perimeter of equilateral triangle is given by,

⇒ Perimeter = Sum of all the sides.

⇒ Perimeter = Side + Side + Side

⇒ Perimeter = 12 + 12 + 12

⇒ Perimeter = 24 + 12

⇒ Perimeter = 36 units.

Hence required perimeter of Equilateral triangle is 36 units.