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

If P + Q = R and P - Q = S, prove that R^2 + S^2 = 2(P^2 + Q^2)

If P + Q = R and P - Q = S, prove that R^2 + S^2 = 2(P^2 + Q^2)

In Figure, P S=P R ,\ \ /_T P S=\ /_Q P Rdot Prove that P T=P Q

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