Take any point O in the interior of a triangle PQR. Is

$(i).\ OP + OQ > PQ?$
$(ii).\ OQ + OR > QR?$
$(iii).\ OR + OP > RP?$"

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Updated on: 10-Oct-2022

PQ?$$(ii). OQ + OR > QR?$$(iii). OR + OP > RP?$Solution:$(i)$. Join $OR$, $OQ$ and $OP$In $triangle OPQ$,$OP+OR>PQ$yes, the $POQ$ form is a triangle.$(ii)$ In $triangle ORQ$','sharer','toolbar=0,status=0,width=580,height=325');" href="javascript: void(0)" title="Share on Facebook"> PQ?$$(ii). OQ + OR > QR?$$(iii). OR + OP > RP?$Solution:$(i)$. Join $OR$, $OQ$ and $OP$In $triangle OPQ$,$OP+OR>PQ$yes, the $POQ$ form is a triangle.$(ii)$ In $triangle ORQ$','sharer','toolbar=0,status=0,width=580,height=325');" href="javascript: void(0)" title="Share on LinkedIn">

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