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Question

In figure , MNP=90o,segNQsegMP,MQ=9cm ,QP=4cm, find NQ
1159895_7d4d701c1c4e42b2a4c83f274f57b4fa.png

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Solution

Area of ΔMPN=12(MN)(NP)=12(NQ)(MP)
(MN)(NP)=(NQ)=(MP)
MP=9+4=13
MN2+NP2=169
MN2=81+NQ2
NP2=16+NQ2
81+16+2NQ2=169
NQ2=169972
NQ2=36
NQ=6cm.

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