Question

the area of an equilateral triangle is 16 under root 3cm2 then will be the length of each side of that triangle​

Answer 1

We have,

Area of the triangle = (16√3) cm²

We know, Area of an equilateral triangle = $\boxed{\frac{\sqrt{3}}{4} s^2}$

Let side be = (a) cm

∴ √(3)/4 a² = 16√3

⇒ a²/4 = 16

⇒ a² = 16 × 4

⇒ a = √(16 × 4)

⇒ a = √(4² × 2²) = 4 × 2

⇒ a = 8 cm

Henceforth, the length of one side of the triangle measures 8 cm.

More about an equilateral triangle:-

• All angles of an equilateral triangle measure 60°. All sides are same.
• The centroid, orthocentre, and incentre lie in a same point in an equilateral triangle.