Question

find the height of an equilateral triangke having side 2a​

Answer 1

Step-by-step explanation:

Since, ABC is an equilateral triangle, AD is the perpendicular bisector of BC.

Now, According to Pythagoras theorem,

In ∆ABD

AB2=AD2+BD2

⇒(2a)2=AD2+a2

⇒4a2−a2=AD2

⇒AD2=3a2

⇒AD=3a

Hence, the height of an equilateral triangle is

√3 a