Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • In Fig.9.28, AP || BQ || CR. Prove that ar (AQC) = ar (PBR).

Q : 14     In Fig. \small 9.28,  \small AP\parallel BQ\parallel CR. Prove that \small ar(AQC)=ar(PBR).

                

Answers (1)

best_answer


We have, AP || BQ || CR
\DeltaBCQ and \Delta BQR lie on the same base (BQ) and between same parallels (BQ and CR)
Therefore, ar (\DeltaBCQ) = ar (\DeltaBQR)........(i)

Similarly, ar (\DeltaABQ) = ar (\DeltaPBQ)  [common base BQ and BQ || AP]............(ii)

Add the eq(i) and (ii), we get

ar (\DeltaAQC) = ar (\DeltaPBR)

Hence proved

Posted by

manish

View full answer

Similar Questions

Trending Articles/News

anam-khan

CBSE Class 10 Hindi Exam Analysis 2025: Paper ‘well-organised, moderately difficult'; MCQ section easy
anam-khan

No change in CBSE Class 10 subjects for 2026, board will offer 45 languages: Chairman clarifies
anam-khan

Minister objects to Punjabi's absence from list in CBSE draft; board says language list 'indicative'

Latest Question