In triangle $PQR$, $PQ=PR=10\text{ cm}$. Point $S$ lies on $QR$ and $PS\perp QR$. Prove th

Question

In triangle $PQR$, $PQ=PR=10\text{ cm}$. Point $S$ lies on $QR$ and $PS\perp QR$. Prove that $QS=SR$.[4] Diagrams are not drawn to scale.

Accepted Answer

$\triangle PSQ\equiv\triangle PSR$ (RHS), so $QS=SR$.

Congruence in an isosceles triangle