Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 9 Answered

<div>PQRS is a parallelogram. QA bisects angle pqr and meet PS at A. A straight line through R and parallel to QA meets PQ produced at B and PS produced at C. Prove that traingle PBC is an isosceles triangle. Please give it fast. Tommorow is my exam.</div>
Asked by vatsalchoudhary41 | 13 Mar, 2015, 09:02: AM
Expert Answer
C o n s i d e r space t h e space f o l l o w i n g space f i g u r e.
S i n c e space Q A space i s space t h e space a n g l e space b i s e c t o r space o f space angle P Q R comma space w e space h a v e comma angle P Q S equals angle S Q R... left parenthesis 1 right parenthesis P Q R S space i s space a space p a r a l l e log r a m space a n d space h e n c e comma space P S parallel to Q R rightwards double arrow P C parallel to Q R rightwards double arrow angle C S Q space a n d space angle R Q S space a r e space c o i n t e r i o r space a n g l e s rightwards double arrow angle C S Q plus angle S Q R equals 180 degree rightwards double arrow angle C S Q equals 180 degree minus angle S Q R... left parenthesis 2 right parenthesis B u t comma space angle P S Q space a n d space angle C S Q space a r e space l i n e a r space p a i r. H e n c e space angle P S Q plus angle C S Q equals 180 degree S u b s t i t u t i n g space t h e space v a l u e space o f space angle C S Q space f r o m space e q u a t i o n space left parenthesis 2 right parenthesis comma space w e space h a v e comma angle P S Q plus 180 degree minus angle S Q R equals 180 degree rightwards double arrow angle P S Q minus angle S Q R equals 180 degree minus 180 degree rightwards double arrow angle P S Q minus angle S Q R equals 0 degree rightwards double arrow angle P S Q equals angle S Q R rightwards double arrow angle P S Q equals angle P Q S space space space space space space space left square bracket f r o m space e q u a t i o n space left parenthesis T h e space a n g l e s space angle P S Q space a n d space angle P Q S space a r e space t h e space b a s e space a n g l e s space o f space t h e space t r i a n g l e space triangle P Q S T h u s comma space t h e space t r i a n g l e space triangle P Q S space i s space a n space i s o s c e l e s space t r i a n g l e.

All the best for your exams!!!!
Answered by Vimala Ramamurthy | 13 Mar, 2015, 09:31: PM
CBSE 9 - Maths
Asked by yadavPriy000 | 06 May, 2021, 07:11: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by manugaur698 | 11 Sep, 2020, 04:30: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by deepakumaraiya200 | 30 Jun, 2020, 09:51: AM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by maddinenianr | 21 Mar, 2020, 03:48: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by prakash.sanyasi | 04 Jan, 2020, 05:09: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by kishor.kp14 | 15 Dec, 2019, 05:00: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by ravinderchoudhary0486 | 06 Dec, 2019, 10:59: AM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by suresh | 27 Nov, 2019, 09:21: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by arajeevshashank | 09 Nov, 2019, 05:31: PM
ANSWERED BY EXPERT
Season Break Offer!
Get 60% Flat off instantly.
Avail Now
×