Maths-
General
Easy

Question

In the figure P Q greater than P R comma QS and RS are the bisectors of stack ∣ Q with _ below and stack R with _ below respectively then

  1. S Q greater than S R    
  2. S Q less than S R    
  3. S Q equals S R    
  4. none of these    

hintHint:

In this question, we have to find the correct option. For that we will use some properties of triangle yo find the correct relation between SQ and SR.

The correct answer is: S Q greater than S R



    PQ>PR
    =anglePRQ>anglePQR           [angle opposite to the longer side of triangle is greater]
    =1/2 anglePRQ> 1/2anglePQR
    =angleSRQ>angleSQR           [as QR is the bisector of anglePQR and RS is the bisector of anglePRQ]
    = SQ>SR             [as side opposite to greater angle is greatest]
    So, SQ>SR

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