Question:

In figure 2.17, MNP = 90°, seg NQ ⊥ seg MP, MQ = 9, QP = 4, find NQ.

Answer:

In MNP , MNP = 90˚, seg NQ ⊥ seg MP
MQ = 9 , QP = 4 [Given]
NQ = √(MQ×QP) [Theorem of geometric mean]
NQ = √(9×4) = √36 = 6
Hence NQ = 6 units.

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