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Question
Seg NQ is the bisector of ∠ N
of Δ MNP. If MN= 5, PN =7,
MQ = 2.5 then find QP.
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Solution
MN = 5, PN = 7, MQ = 2.5, QP = ?
From the figure `(MN)/(NP)=(MQ)/(QP)`= ..............(Angle bisector theorem)
∴ `5/2.5 = 7/(QP)`
∴ 5 × QP = 7 × 2.5
∴ QP = `(7×2.5)/5`.
∴ QP = 3.5
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