Question

the area of an equlaterlal triangle is 16root3meter cube calculate it's side perimeter
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Answer 1

GIVEN :-

• The area of an equilateral triangle is 16√3 m².

TO FIND :-

• The side and perimeter of equilateral triangle.

SOLUTION :-

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

⇒ Area = √3/4 × (side)²

⇒ 16√3 = √3/4 × (side)²

⇒ 16√3 × 4 = √3 × (side)²

⇒ 64√3 = √3 × (side)²

⇒ (side)² = 64√3/√3

⇒ (side)² = 64

⇒ side = √64

⇒ side = 8 m

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

⇢ Perimeter = 3 × side

⇢ Perimeter = 3 × 8

⇢ Perimeter = 24 m.

Hence the perimeter of equilateral triangle is 24 m and the side of equilateral triangle is 8 m.

Answer 2

QUESTION: -

--》The area if an equilateral triangle is 16√3² calculate its side perimeter.

GIVEN:-

--》Area of equilateral triangle is 16√3

TO FIND:-

--》Perimeter of triangle

SOLUTION:-

--》Area of equilateral triangle = √3/4×(a)²

--》16√3 = √3/4×(a)²

--》a² = 16√3×4/√3 = 64

--》a = √64 = 8m

--》Perimeter of equilateral triangle = 3a = 3× 8 = 24 m

HENCE PROVED