Question

The height of a equilateral triangle is 6cm . It's area is ?

Answer 1

Hi your answer is,
as it is an equilateral traingle all the sides of it will be same
area of a triangle is h/2*b =6/2*6
=3*6=18

Answer 2

Height is 6cm

Let the sides be a.

By Pythagoras theorem:

a^2-(a/2)^2=6^2

=a^2-a^2/4=36

=3a^2/4=36

=a^2=12

Now area =√3*a^2/4

Area =√3*12/4

=√3*3cm^2

This is the answer.

If you still have doubts you can freely comment.