Q. 34.2( 23 Votes )

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Answer :

Given:


SQ and SR are bisectors of Q and R which meet at S


PQ > PR


To Prove: SQ > SR


Proof:


PQ > PR


PRQ > PQR [angle opposite to longer side is larger] …………(1)


SQ and SR are bisectors of Q and R


SQR = 1/2 PQR and SRQ = 1/2 PRQ


Dividing (1) by 1/2 we get


1/2 PRQ > 1/2 PQR


SRQ > SQR


SQ > SR [sides opposite to greater angle is longer]


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