Given: Height of an equilateral triangle = 6 cm

Let sides of equilateral triangle be a cm

We know that,

Height of equilateral triangle =

⇒ 6 × 2 = √3 × a

⇒ 12 = a√3

⇒ a = 4 × 1.73

= 6.92 cm²

Now,

Area of equilateral triangle =

= 11.98√3 cm²

= 20.76 cm²