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In ΔMNP, ∠MNP = 90˚, seg NQ ⊥ seg MP, MQ = 9, QP = 4, find NQ. - Geometry Mathematics 2

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Question

In ΔMNP, ∠MNP = 90˚, seg NQ ⊥ seg MP, MQ = 9, QP = 4, find NQ.

Sum

Solution

NQ2 = `sqrt(MQ xx QP)`  ......(Theorem of Geometric mean)

= `sqrt(9 xx 4)`

= 36

∴ NQ = `sqrt(36)`

= 6 unit

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