In figure, it is given that LM=MN,QM=MR,ML is perpendicular to PQ and MN is perpendicular to PR. Prove that PQ=PR.
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Keshav5318:
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Step-by-step explanation:
Two lines exist said to be perpendicular to each other when they intersect each other at 90 degrees or right angles.
Given,
LM=MN,QM=MR,ML exist perpendicular to PQ and MN exist perpendicular to PR.
To prove, PQ=PR.
In and
Therefore, .... (RHS criteria)
Hence, QL = RN .........(i)
Join PM
In and and
PM = PM. .. .common)
Therefore, ...(RHS criteria)
Hence, PL = PN ..........(ii)
From (i) and (ii)
PQ=PR.
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