ABC is an equilateral triangle of side 2A find each of its altitudes
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Ans equilateral triangle with sides 2A .
Altitude = ?
Draw median of BC .
In triangle ABD ...
By using pythagoras theorem ,
(2A)^2 = (A )^2 + (AD)^2
4A^2 = A^2 + AD^2
= 4A^2 - A^2 = AD^2
= 3 A^2 = AD^2
= AD = (root 3) A
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