In the below , \(PQ = PR\) and \(\angle Q = \angle R\). Prove that \(\triangle PQV \cong \triangle PRU\).
 
AR3-triangles - Copy (2).png
 
Proof :
 
In \(\triangle PQV\) and \(\triangle PRU\),
 
\(PQ = PR\) [Given]
 
\(\angle Q = \angle R\) [Given]
 
\(\angle QPV = \angle RPU\) []
 
Therefore, \(\triangle PQV \cong \triangle PRU\) [By congruence rule].