Q7 of 70 Page 140

The bisector of ∠P in ΔPQR intersects in D. If QD: RD = 4 : 7 and PR = 14, then PQ = ………..

We have



Given: PD is the bisector of ∠P.


QD:RD = 4:7


PR = 14


To find: PQ = ?


In ∆PQR, the bisector of P intersects the line QR at D. By property of triangles,


⇒


⇒


⇒


⇒ PQ = 2 × 4


⇒ PQ = 8


Thus, option (a) is correct.

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