In Figure, it is given that `L M=M N ,\ Q M=M R ,\ M L\ _|_P Q\ a n d\ M N\ _|_P Rdot\ ` Prove that `P Q=P R`

In Fig.44, it is given that L M=M N ,\ Q M=M R ,\ M L_|_P Q\ and \ M N_|_P Rdot Prove that P Q=P Rdot

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

In Figure, A P\ _|_l\ a n d\ P R > P Q . Show that A R > A Q .

In Figure, A P _|_l a n d P R > P Q . Show that A R > A Q Given: A P_|_l a n d P R > P Q To Prove: A R > A Q Construction: Mark a point S on P R such that P S=P Qdot Join A S

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 Figure, /_Q P R=\ /_P Q R\ a n d\ M\ a n d\ N are respectively on sides Q R\ a n d\ P R of P Q R\ such that Q M=P Ndot Prove that O P=O Q , where O is the point of intersection of P M\ a n d\ Q N

In Figure, /_Q P R=\ /_P Q R\ a n d\ M\ a n d\ N are respectively on sides Q R\ a n d\ P R of P Q R\ such that Q M=P Ndot Prove that O P=O Q , where O is the point of intersection of P M\ a n d\ Q N

In Figure, sides L M\ a n d\ L N OF /_\ LMN are extended to P\ a n d\ Q respectively. If x > y , show that L M > L N .