Question

6. In Fig. 8.50, PS is a median and OL and RM are
perpendiculars drawn from Q and R respectively
on PS and PS produced. Prove that OL = RM.​

Answer 1

Answer:

In triangle LQS and SRM

QS = SR (Given)

angle QSL =angle RSM (Vertically opposite angle)

angle QLS = angle RMS =90°

triangle LQS congruent triangle SRM (BY AAS)

QL = RM (BY CPCTC)