Q6 ABC is an equilateral triangle of side 2a. Find each of its altitudes.
Given: ABC is an equilateral triangle of side 2a.
AB=BC=AC=2a
AD is perpendicular on BC.
We know that altitude of an equilateral triangle bisects opposite side.
So, BD=CD=a
In ADB,
By Pythagoras theorem,
Length of each altitude is .