\(ABC\) is an isosceles triangle with \(AB = AC\) and \(BD\) and \(CE\) are its two medians. Show that \(BD = CE\). 
 
Proof :
 
Consider \(\triangle ABD\) and \(\triangle ACE\).
 
\(\triangle ABD \cong \triangle ACE\) [By Congruence rule]
 
\(BD = CE\) [By ]
 
Hence proved