In the figure, `angleQPR = anglePQR` and M and N are respectively on sides QR and PR such that QM = PN. Prove that OP=OQ, where O is the point of intersection of PM and QN.

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

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

1. In the figure trianglePQR is an equilateral triangle, the point N is on ray QR such that QR=RN. Prove that PN^2 = 3PR^2

In a triangle PQR,S and T are points on QR and PR respectively,such that QS=3SR and PT=4TR. Let M be the point of intersection of PS and QT. Determine the ratio QM:MT

In a triangle PQR,S and T are points on QR and PR, respectively,such that QS=3SR and PT=4TR. Let M be the point of intersection of PS and QT . Determine the ratio QM:MT using the vector method.

In A PQR, if PQ=PQ and L,M and N are the mid-points of the sides PQ,PR and RP respectively.Prove that LN=MN

In the given figure A, B and C are points on OP, OQ and OR respectively such that AB||PQ and BC||QR. Show that AC||PR.

In the given figure points A, B, C respectively lie on sides OP, OQ such that AB||PQ and AC||PR show that BC||QR

In figure A, B and C are points on OP, OQ and OR respectively such that AB || PQ and AC || PR. Show that BC || QR.

In Figure,T is a point on side QR of PQR and S is a point such that RT=ST .Prove That :PQ+PR>QS