In the given figure , LM = MN, QM = MR, MN is perpendicular to PR. Prove that PQ = PR
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the answer is in the attachment
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Step-by-step explanation:
In AQLM and ARNM
QM = MR
LM = MN
ZQLM = ZRNM = 90°
Therefore, AQLM = ARNM...(RHS
criteria)
Hence, QL = RN - ..(i)
Join PM
In APLM and APNM and
PM = PM ...(common)
LM = MN
ZPLM = <PNM = 90°
Therefore, APLM = APNM ...(RHS
criteria)
Hence, PL = PN.
From (i) and (ii)
PQ = PR.
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