Question

S and T are point on sides PR and QR of $\Delta PQR$ such that $\angle P=\angle RTS$. Show that $\Delta RPQ\sim \Delta RTS$.

Answer 1

In $\Delta RPQ$ and $\Delta RTS$,
$\angle RTS=\angle QPS$ (Given)
$\angle R=\angle R$ (Common angle)
$\therefore \Delta RPQ\sim \Delta RTS$ (By AA similarity criterion)