In Figure-5, $ riangle PQR$ is right-angled at $P$. $M$ is a point on $QR$ such that $PM$ is perpendicular to $QR$. Show that $PQ^2 = QM imes QR$.

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Question

In Figure-5, $	riangle PQR$ is right-angled at $P$. $M$ is a point on $QR$ such that $PM$ is perpendicular to $QR$. Show that $PQ^2 = QM 	imes QR$.

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Accepted Answer

Step 1: $	riangle PQM \sim 	riangle RQP$ [By AA similarity]
Step 2: $	herefore \frac{PQ}{RQ} = \frac{QM}{PQ} \Rightarrow PQ^2 = QM 	imes QR$

Question