Q7 of 70 Page 140

In Δ PQR, P—M—Q and P—N—R. If PQ = 18, PM = 12, PR = 9 and NR = …, then ||

We have



Given: P – M – Q and P – N – R


In ∆PQR, MN ∥ QR.


PQ = 18,


PM = 12 &


PR = 9


To find: NR = ?


In ∆PQR, when MN ∥ QR.


⇒


Substituting the given values in the above equation,



⇒


⇒ PN = 6


Observe the diagram,


PR = PN + NR


⇒ NR = PR – PN


⇒ NR = 9 – 6


⇒ NR = 3


Thus, option (b) is correct.

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