Request a call back

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

ICSE Class 9 Answered

PQR is a triangle and PS bisects angle QPR show that (a)PQ>QS (b)PR>RS (c)(PQ+PR)>QR  
Asked by sonalagarwalagarwal544 | 03 Jun, 2021, 08:34: AM
answered-by-expert Expert Answer
begin mathsize 14px style angle end style PSQ = sum of interior angles of Δ PQR  = begin mathsize 14px style angle end stylePRS + begin mathsize 14px style angle end styleRPS  .........................(1)
Since PS bisects begin mathsize 14px style angle end styleQPR , we have begin mathsize 14px style angle end styleQPS = begin mathsize 14px style angle end styleRPS  .......................(2)
From eqn.(1) and (2)  begin mathsize 14px style angle end stylePSQ = begin mathsize 14px style angle end stylePRS + begin mathsize 14px style angle end styleQPS
Hence begin mathsize 14px style angle end stylePSQ > begin mathsize 14px style angle end styleQPS  ,  Hence in Δ PQS , we get PQ > QS  ...................(3)
In similar way , we can get PR > RS  ...................... (4)
 
By adding eqn.(3) and (4) , we get , ( PQ + PR ) > (QS + RS ) 
 
we get , ( PQ + PR ) > QS
Answered by Thiyagarajan K | 20 Sep, 2021, 02:04: PM
ICSE 9 - Maths
Asked by sonalagarwalagarwal544 | 03 Jun, 2021, 08:34: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
Asked by Sharmakiran | 08 Oct, 2019, 06:28: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
Asked by Rayeesa | 06 Jun, 2018, 02:31: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
Asked by Rayeesa | 06 Jun, 2018, 02:29: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
Q10
question image
Asked by Rayeesa | 06 Jun, 2018, 02:27: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
Asked by Rayeesa | 06 Jun, 2018, 02:26: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
Asked by Rayeesa | 06 Jun, 2018, 02:20: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×