In a triangle PQR, L and M are two points on the base QR such that ∠LPQ=∠QRP and ∠RPM=∠RQP Prove that: [4 MARKS] (i) ΔPQL∼ΔRPM (ii) QL×RM=PL×PM (iii) PQ2=QR×QL

In a triangle PQR, L and M are two points on the base QR such that ∠

1.	In a triangle PQR, L and M are two points on the base QR such that ∠LPQ=∠QRP and ∠RPM=∠RQP Prove that: [4 MARKS] (i) ΔPQL∼ΔRPM (ii) QL×RM=PL×PM (iii) PQ2=QR×QL
Answer» In a triangle PQR, L and M are two points on the base QR such that $∠ L P Q = ∠ Q R P$ and $∠ R P M = ∠ R Q P$ Prove that: [4 MARKS] (i) $Δ P Q L \sim Δ R P M$ (ii) $Q L \times R M = P L \times P M$ (iii) $P Q^{2} = Q R \times Q L$