PS is a median of trianglePQR. Prove that PQ+QR+ PR > 2PS.
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In ∆ PQR
1. PQ + QS > PS
【 The sum of any two sides of triangle is greater than the third side】
2. PR + RS > PS
【 The sum of any two sides of triangle is greater than the third side】
3. Therefore adding 1 and 2
PQ+ QS+ PR+ RS >2PS
PQ+ QR+ PR> 2PS
【 as QR = QS + RS】
HENCE PROVED
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