In the adjoining figure, ∠MNP = 90° , seg NQ ⊥ seg MP,MQ = 9, QP – InterviewSolution

InterviewSolution

1.

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

Answer»

In ∆MNP, ∠MNP = 90° and [Given]

seg NQ ⊥ seg MP

NQ² = MQ × QP [Theorem of geometric mean]

∴ NQ = \({ \ \sqrt{MQ\times QP} }\) [Taking square root of both sides]

= \({ \ \sqrt{9\times 4} }\)= 3 × 2

∴NQ = 6 units

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