# <span lang="EN-US

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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