Question

If each side of an equilateral triangle is 12 cm, then its altitude is equal to ______.

Options

• `6sqrt2  "cm"`

• `3sqrt2  "cm"`

• `6sqrt3  "cm"`

• `3sqrt6  "cm"`

Answer 1

If each side of an equilateral triangle is 12 cm, then its altitude is equal to `underline(6sqrt3  "cm")`.

Explanation:

Height of equilateral triangle = `sqrt3/2 xx "side"`

= `sqrt3/2 xx 12`

= `6sqrt3` cm