1.

In Fig., PQ > PR and QS and RS are the bisectors of ∠Q and ∠R, respectively. Show that SQ > SR.

Answer»

PQ > PR (Given) 

Therefore, ∠R > ∠Q (Angles opposite the longer side is greater) 

So, ∠SRQ > ∠SQR (Half of each angle) 

Therefore, SQ > SR (Side opposite the greater angle will be longer)



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