Question

in triangle pqr, pq = pr and s is any points on side pr then prove that rs < qs

Answer 1

hence, pq=pr
angle pqr=angle prq
gives triangle qrs,
angle qrs>angle sqr (hence angle qrs=angle prq and angle sqr=1/2 angle pqr)
opposite side of angle qrs is qs
opposite side of angle sqr is rs
qs>rs (proved)