Question

find height of equilateral triangle with side 2a

Answer 1

It will solve using Pythagoras theorem-

Hypotenuse's square= Base ka square +height ka square

So,

(2a)^2= a^2+ height^2

4a^2= a^2 + h^2

4a^2- a^2= h^2

3a^2= h^2

So,

h= root 3a^2

h= a root 3