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Take any point O in the interior of a tr...

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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To solve the problem, we need to analyze the relationships between the sides of triangle \( PQR \) and the segments connecting point \( O \) (which is inside the triangle) to the vertices \( P, Q, \) and \( R \). ### Step-by-step Solution: 1. **Understanding the Triangle and Point O**: - We have a triangle \( PQR \) and a point \( O \) located inside this triangle. - We will draw segments from point \( O \) to each of the vertices \( P, Q, \) and \( R \), creating segments \( OP, OQ, \) and \( OR \). ...
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