Question

Calculate the area and the height of an equilateral triangle whose perimeter is 60 cm.

Answer 1

Each side of the triangle is `60/3` = 20 cm

Hence, the area of the equilateral triangle is given by

`A = sqrt(3)/4 xx 20^2`

= `sqrt(3)/4 xx 400`

= `100sqrt(3)`

= 173.2 cm²

The height h of the triangle is given by

`1/2 xx 20 xx h = 173.2`

h = 17.32 cm