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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

$S Q > S R$
$S Q < S R$
$S Q = S R$
none of these

hint Hint:

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
= $angle$ PRQ> $angle$ PQR [angle opposite to the longer side of triangle is greater]
=1/2 $angle$ PRQ> 1/2 $angle$ PQR
= $angle$ SRQ> $angle$ SQR [as QR is the bisector of $angle$ PQR and RS is the bisector of $angle$ PRQ]
= SQ>SR [as side opposite to greater angle is greatest]
So, SQ>SR

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