Answer:

Let the triangle be ABC with AD as its altitude.

D is the midpoint of BC.

In right-angled triangle ABD,

????????² = ????????² + ????????²

????????² = ????????² − ????????²

=> 4????² − ????²

=> 3????²

???????? = √3????

Hence, the length of the altitude of an equilateral triangle of side 2a cm is √3???? ????m