5
Question
In the given figure, PQ>PR and QS and RS are the bisectors of ∠Q and ∠R respectively. show that SQ>SR.
In the given figure, PQ>PR and QS and RS are the bisectors of ∠Q and ∠R respectively. show that SQ>SR.
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Solution
ANSWER:
Since the angle opposite to the longer side is greater, we have:
PQ>PR⇒∠R>∠Q⇒12∠R>12∠Q⇒∠SRQ>∠RQS⇒QS>SR
∴ SQ>SR
Since the angle opposite to the longer side is greater, we have:
PQ>PR⇒∠R>∠Q⇒12∠R>12∠Q⇒∠SRQ>∠RQS⇒QS>SR
∴ SQ>SR
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