Find QP using given information in the figure.


From figure MN = 25, NP = 40, MQ = 14
Given NQ bisects MNP.
MN/NP = MQ/QP [Angle bisector theorem]
25/40 = 14/QP
QP = 40×14/25
QP = 22.5
Hence measure of QP is 22.5 units.

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