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- We know that in any triangle the sum of any two sides is greater than the third side.
- In △PQO,PQ+QO>PQ→(1)
- In △SOP,SO+PO>PS→(2)
- In △SOR,SO+OR>RS→(3)o
- In △QOR,QO+OR>QR→(4)
- Adding equations (1) , (2) , (3) & (4) ,
- we get,
- 2(PO+OQ+SO+OR) >PQ+QR+RS+SP
- PQ+QR+RS+SP< 2(PQ+OR+SO+OQ)
- PQ+QR+RS+SP < 2(PR+SQ)
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⇒ ✪ hence proven !!!!!
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