In ` A B C ,\ /_B=35^0,/_C=65^0` and the bisector of `/_B A C` meets `B C` in `Pdot` Arrange `A P ,\ B P\ a n d\ C P` in descending order.

In ABC,/_B=35^(0),/_C=65^(0) and the bisector of /_BAC meets BC in P .Arrange AP,BP and CP in descending order.

In A B C , the bisector of /_B meets A C at Ddot A line P Q A C meets A B , B Ca n dB D at P ,Qa n dR respectively, Show that P RdotB Q=Q RdotB P (ii) A BxC Q=B CxA P

In Figure, A B C is an isosceles triangle in which A B=A CdotC P A B and A P is the bisector of exterior /_C A D of A B C . Prove that /_P A C=/_B C A and (ii) A B C P is a parallelogram.

In figure A B=A C\ a n d\ C P||B A and A P is the bisector of exterior /_C A D of A B C . Prove that /_P A C=/_B C A (ii) A B C P is a parallelogram

In Figure, A B C D is a parallelogram and /_D A B=60^0dot If the bisectors A P\ a n d\ B P of angles A\ a n d\ B respectively, meet at P on C D , prove that P is the mid-point of C D

In A A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A Pdot Prove that: a r\ ( P B Q)=\ a r\ (\ A R C)

B O and C O are respectively the bisectors of /_B and /_C of A B C . A O produced meets B C at P . Show that: (A B)/(B P)=(A O)/(O P) (ii) (A C)/(C P)=(A O)/(O P) (iii) (A B)/(A C)=(B P)/(P C) (iv) A P is the bisector of /_B A C .

In A A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A Pdot Prove that: a r\ (\ P R Q)=1/2a r\ (\ A R C)

In A A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A Pdot Prove that: a r\ ( R Q C)=3/8\ a r\ (\ A B C)