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Take any point O in the interior of a triangle PQR. Is (i) OP + OQ > PQ? (ii) OQ + OR > QR? (iii) OR + OP > RP?

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

            (i)  \small OP+OQ> PQ ?
            (ii) \small OQ+OR> QR ?
            (iii) \small OR+OP> RP?

        

Answers (1)
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i) As POQ is a triangle, the sum of any two sides will always be greater than the third side. so 

Yes,  \small OP+OQ> PQ .

ii) As ROQ is a triangle, the sum of any two sides will always be greater than the third side. so 

Yes,  \small OQ+OR> QR

iii) As ROQ is a triangle, the sum of any two sides will always be greater than the third side. so 

Yes,\small OR+OP> RP

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