Q. 64.4( 179 Votes )

ABC is an equilat

Answer :

Let AD be the altitude of the given equilateral triangle, ΔABC

We know that altitude bisects the opposite side


BD = DC = a



In triangle ADB,


ADB = 90O


Using Pythagoras theorem, we get


AD2 + DB2 = AB2


AD2 + a2 = (2a)2


AD2 + a2 = 4a2


AD2 = 3a2


AD = a


In an equilateral triangle, all the altitudes are equal in length.


Hence, the length of each altitude will be


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