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Question -

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



Answer -

(i) Yes, In ∆OPQ, we have
OP + OQ > PQ
[Sum of any two sides of a triangle is greater than the third side]
(ii) Yes, In ∆OQR, we have OQ + OR > QR
[Sum of any two sides of a triangle is greater than the third side]
(iii) Yes, In ∆OPR, we have OR + OP > RP
[Sum of any two sides of a triangle is greater than the third side]

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