In `Delta P Q R ,` if `P Q=Q R` and `L ,M` and `N` are the mid-points of the sides `P Q ,Q R` and `R P` respectively. Prove that `L N=M Ndot`

In A P Q R , if P Q=QR\ a n d\ L ,\ M\ a n d\ N are the mid-points of the sides P Q ,\ P R\ a n d\ R P respectively. Prove that L N=M N

In triangle P Q R , if P Q=R Q\ a n d\ L ,\ M\ a n d\ N are the mid-points of the sides P Q ,\ Q R\ a n d\ R P respectively. Prove that L N=M N .

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 ΔABC a n d\ Δ P Q R ,\ A B=P Q ,\ B C=Q R\ a n d\ C B\ a n d\ R Q are extended to X\ a n d\ Y respectively and /_A B X=/_P Q Y . Prove that A B C~=\ P Q R .

P Q R is a triangle in which P Q=P R and S is any point on the side P Q . Through S , a line is drawn parallel to Q R and intersecting P R at Tdot Prove that P S=P Tdot

In P Q R , M and N are points on sides P Q and P R respectively such that P M=15 c m and N R=8c m . If P Q=25 c m and P R=20 c m state whether M N Q R .

In P Q R ,\ \ Q M_|_P R and P R^2-P Q^2=Q R^2 . Prove that Q M^2=P MxxM R

In P Q R ,\ \ Q M_|_P R and P R^2-P Q^2=Q R^2 . Prove that Q M^2=P MxxM R

In P Q R ,\ \ Q M_|_P R and P R^2-P Q^2=Q R^2 . Prove that Q M^2=P MxxM R

P Q R is a triangle is which P Q=P R\ a n d\ S is any point on the side P Q . Through S , a line is drawn parallel to Q R and intersecting P R\ at Tdot Prove that P S=P T