CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In the figure, PQRS is a parallelogram with PQ=16 cm and QR=10cm, L is a point on PR such that RL:LP=2:3. QL produced meets RS at M and PS produced at N.Find the lengths of PN and RM
1406844_a53e5f6479ad449f9b649c183d47fc79.PNG

Open in App
Solution

In RLQ and PLN
RLQ=PLN(vertically opposite angles)
LRQ=LPN(alternate angles)
RLQPLN(AA similarity)
RLLP=RQPN
23=10PN
PN=32×10=15cm
In RLM and PLQ
RLM=PLQ(vertically opposite angles)
LRM=LPQ (alternate angles)
RLMPLQ(AA similarity)
RMPQ=RLLP
RM16=23
RM=323=1023cm

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Properties of Parallelograms
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon