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In the adjoining figure, angleMNP=90^(@)...

In the adjoining figure, `angleMNP=90^(@),segNQbotsegMP`,MQ=9,QP=4 find NQ.

Text Solution

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The correct Answer is:
NQ = 6
In `triangle MNP `
`angle MNP = 90^(@)` ….(Given)
seg NQ ` bot ` hypotenuse MP …(Given)
`therefore ` by theorem of geometric mean ,
` NQ^(2) = MQ xxPQ `
` therefore NQ^(2) = 9xx4`
` therefore NQ ^(2) = 36`
` therefore NQ = =6`
...(Taking square roots of both the sides )
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