Q

# 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) $\small OR+OP> RP$?

Views

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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