Let \( ABCD\) be a square. If an equilateral triangle is formed externally on side \(CD\). Establish that \(\triangle ADE \cong \triangle BCE\).
 
YCIND240505_6261_19.png
 
Proof
 
\(\angle\)\(=\) \(\angle ADC + \angle EDC\)
 
\(\angle\) \(=\) \(\angle BCD + \angle ECD\)
 
 
\( =\) \(= 150^{\circ}\)
 
\(\triangle ADE \cong \triangle BCE\) [By Congruence rule]
 
Hence Proved