Question

If the area of an equilateral triangle is 49 root 3 cm 2 Find its perimeter?

Answer 1

area of equilateral triangle = (√3/4)a²
⇒49√3 = (√3/4)a²
⇒a² = 49×4
⇒a = 14 cm

So,perimeter = 14 ×3 = 42 cm

Answer 2

We know that,
Area of equilateral triangle = (√3/4)a²
From formula,we get
⇒49√3 = (√3/4)a²
⇒a² = 49×4
⇒a = 14 cm

So side=14cm and perimeter=14×3=42 cm