In the diagram, $PS = 3\text{ cm}$, $QS = 12\text{ cm}$, $PT = 5\text{ cm}$ and \(RT = 4\text{

Question

In the diagram, $PS = 3\text{ cm}$, $QS = 12\text{ cm}$, $PT = 5\text{ cm}$ and $RT = 4\text{ cm}$. Show that triangles $PQR$ and $PTS$ are similar.

Accepted Answer

$\triangle PQR\sim\triangle PTS\text{ (SAS)}$

Geometric Proofs: Establishing Similarity and Proportionality in Plane Figures