Q. 83.7( 3 Votes )

Find the length o

Answer :

Given: Side of equilateral triangle = 2a cm

To find: Length of altitude



Let ∆ ABC be an equilateral triangle with side 2a cm.


Let AD be the altitude of ∆ ABC.


Here, BD = DC = a


In ∆ ABD,


Using Pythagoras theorem, we have


AB2 = AD2 + BD2 AD2 = AB2 – BD2 AD2 = (2a)2 – (a)2 = 4a2 – a2 = 3a2


AD2 = 3a2


AD = √3a2 = √3 a cm


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