TRIANGLE PQR CONGRUENCE  TRIANGLE LMN ,ANGLE Q=M=90 DEGREE,PQ=4CM & QR=3CM. FIND LN?



In PQR, we havePQ = 3 cm; QR = 4 cmNow, PR2 = PQ2 + QR2      Pythagoras theoremPR2 = 32 + 42PR2 = 9 + 16PR2 = 25PR = 5 cmSince, PQRLMNPR = LN       CPCTLN = 5 cm

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∆PQR is congruent to ∆LMN. So, PQ=LM QR=MN PR=LN By RHS congruency rule- (PQ)square + (QR)square =(PR)square =(4)square + (3)square =(PR)square =16 + 9 = 25 √25 = 5 cm. PR = LN :length of side LN is 5 cm.
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