wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Through A,B and C lines RQ,PR and QP have been drawn, respectively parallel to sides BC,CA and AB of a ΔABC as shown in figure. Show that BC=12QR.

Open in App
Solution

Given in ΔABC, PQAB and PRAC and RQBC
To show BC=12QR.
Proof: In Quadrilateral BCAR,BRCA and BCRA
So, quadrilateral , BCAR is a parallelogram.
BC=AR ….(i)
Now, in quadrilateral BCQA,BCAQ and ABQC
So, quadrilateral BCQA is a parallelogram.
BC=AQ …..(ii)
On adding Eqs (i) and (ii) we get
2BC=AR+AQ
2BC=RQ
BC=12QR.

Hence proved


flag
Suggest Corrections
thumbs-up
53
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon