Question

find the height of an equilateral triangle having side 2a

Answer 1

Answer:

underroot 3a is the answer. solved by trigonometry

Answer 2

Answer:

Suppose the triangle is ABD.

So, according to Pythagoras theorem,

In ∆ABD,

AB²= AD²+BD²

(2a²)= AD²+a²

4a²- a²= AD²

3a²= AD²

So, AD= under root 3a

So, the height of the equilateral triangle ABD is under root 3a.

I hope it will help .