In figure PS is the bisector of `/_Q P R`of `DeltaP Q R`. Prove that `(Q S)/(S R)=(P Q)/(P R)`.

If PS is the bisector of /_Q P R and P T_|_Q R . Show that /_T P S=1/2(/_Q-/_R)dot

In Fig. , the side QR of △ PQR is produced to a point S. If the bisectors of /_P Q R and /_P R S meet at point T, then prove that /_Q T R=1/2/_Q P R .

In Fig. 6.44, the side QR of PQR is produced to a point S. If the bisectors of /_P Q R and /_P R S meet at point T, then prove that /_Q T R=1/2/_Q P R .

In Figure, P Q > P R. Q S\ a n d\ R S are the bisectors of /_ Q and /_R respectively. Prove that S Q > S R .

In Figure, O P||R S . Determine /_P Q R

In Fig 7.51, P R\ >\ P Q and PS bisects /_Q P R . Prove that /_P S R\ >/_P S Q .

In Fig 7.51, P R\ >\ P Q and PS bisects /_Q P R . Prove that /_P S R\ >/_P S Q .

In the figure ABCD iś a parallelogram. dotP, Q, R and S are the midpoint of the sides of the parallelogram. Prove that P Q=R S and Q R=P S .

In figure, P Q=P R . Show that P S > P Q .

In Figure , find out /_P X R , if P Q || R S .