Question

Find the altitude of an equilateral triangle of side `6sqrt(3)` cm.

Answer 1

Given: Side = `6sqrt(3)` cm.

Step-wise calculation:

1. For an equilateral triangle of side a.

The altitude `h = (sqrt(3)/2) xx a`.

2. Substitute `a = 6sqrt(3)`:

`h = (sqrt(3)/2) xx (6sqrt(3))`

= `(6 xx (sqrt(3) xx sqrt(3)))/2`

= `(6 xx 3)/2`

= `18/2`

= 9 cm

The altitude is 9 cm.