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

Question

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

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Aubrey 4 weeks 2021-08-17T09:47:32+00:00 1 Answer 0 views 0

Answers ( )

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    2021-08-17T09:48:40+00:00

    Step-by-step explanation:

    In ∆ MNP, ray NQ bisects angle MNP

    therefore by property of angle bisector of triangle,

    MN/ NP = MQ / QP

    therefore 5/7 = 2.5/ QP

    therefore QP = 7× 2.5 / 5

    therefore QP = 3.5

    Ans = QP is 3.5

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