Question:

In MNP, NQ is a bisector of N. If MN = 5, PN = 7 MQ = 2.5 then find QP .

Answer:

Given MN = 5, PN = 7, MQ = 2.5
Since NQ is a bisector of N , PN/MN = QP/MQ [Angle bisector theorem]
7/5 = QP/2.5
QP = 7×2.5/5
QP = 3.5
Hence measure of QP is 3.5 units.

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In MNP, NQ is a bisector of N. If MN = 5, PN = 7 MQ = 2.5 then find QP .

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