Question

The height of an equilateral triangle is 6 cm. Find its area.

Answer 1

Let the side of the equilateral triangle be x cm.

As, the area of an equilateral triangle = \(\frac{\sqrt{3}}{4}\)(side)² = \(\frac{x^2\sqrt{3}}{4}\)

Now, area of the equilateral triangle = 3x

= \(3\times 4\sqrt{3}\)

= \(12\sqrt{3}\)

= 12 x 1.73

= 20. 76 cm²