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

Question 147
In parallelogram PQRS, O is the mid-point of SQ. Find S,R, PQ, QR and diagonal PR.

Open in App
Solution

Given, RQY=60
SRQ=RQY [SRPY, RQ is the transversal]
R=60
S=180R=18060=120 [ adjacent angles are supplementary]

Also, SR = 15 cm
PQ = 15 cm [ opposite sides of a parallelogram are equal]
And PS = 11 cm
QR = 11 cm [ opposite sides of a parallelogram are equal]
PR is bisected by SQ, so PR=2×PO=2×6=12 cm

flag
Suggest Corrections
thumbs-up
91
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Criteria for Similarity of Triangles
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon