Q. 203.7( 7 Votes )

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

Answer :

It is given in the question that,

PQ > PR

And, QS and RS are the bisectors of ∠ Q and ∠ R

We have, angle opposite to the longer side is greater

∴ PQ > PR

∠ R > ∠ Q

∠ SRQ > ∠ RQS

SQ > SR

Hence, proved

Rate this question :

Each question consists of two statements, namely, Assertion (A) and Reason (R). Please select the correct answer.

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

RS Aggarwal & V Aggarwal - Mathematics

In, if -=42°and-=21°, Find,and.

RS Aggarwal & V Aggarwal - MathematicsOf the three angles of a triangle, one is twice the smallest and mother one is thrice the smallest. Find the angle.

RS Aggarwal & V Aggarwal - MathematicsOf the three angles of a triangle are equal and the third angle is greater than each one of them by 18°. Find the angle.

RS Aggarwal & V Aggarwal - MathematicsTwo adjacent angles on a straight line are in the ratio 5:4 Find the measure of each one of these angles.

RS Aggarwal & V Aggarwal - MathematicsIn the adjoining figure, AC>AB and AD is the bisector of ∠A. show that ∠ADC>∠ADB.

RS Aggarwal & V Aggarwal - Mathematics

In the given figure, ABC is a triangle in which::=3:2:1 and AC CD. Find the measure of.

RS Aggarwal & V Aggarwal - Mathematics

In ∆ABC, ∠B=35°,∠C=65° and the bisector of ∠BAC meets BC in X. Arrange AX, BX and CX in descending order.

RS Aggarwal & V Aggarwal - Mathematics

In ∆ABC, side AB is produced to D such that BD=BC. If ∠B=60° and ∠A=70°, prove that (i) AD>CD and (ii) AD>AC.

RS Aggarwal & V Aggarwal - Mathematics