Question

The height of an equilateral triangle having each side 12 cm, is ______.

Options

• `6sqrt(2)` cm

• `6sqrt(3)` cm

• `3sqrt(6)` cm

• `6sqrt(6)` cm

Answer 1

The height of an equilateral triangle having each side 12 cm, is `underlinebb(6sqrt(3)  cm)`.

Explanation:

For an equilateral triangle with side a the height = `(sqrt(3)/2) xx a`. 

For a = 12, height = `(sqrt(3)/2) xx 12 = 6sqrt(3)  cm`.