in the figure LM=MN , QM=MR, ML perpendicular PQ and MN perpendicular PR. Prove that PQ=PR
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Step-by-step explanation:
given : LM = MN, QM=MR
To prove : PQ=PR
Proof : In LMQ and NMR
LM = MN ( Given)
angle MLQ = angle MNR ( each 90')
QM = MR (given)
therefore, LMQ congruent taingle NMR
so, QL = RN ( by CPCT)
2* QL = 2*RN ( by Euclid axiom)
so, PQ = PR
proved
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