# in the given figure t is …

in the given figure t is the exterior point on the diagonal pr of a parllelogram pqrs .sr produced meets ot at n and qr produced meets st at m. prove that mn is parallel to sq

Gaurav Seth 4 days, 15 hours ago

in triangle PQT, RN is parallel to PQ hence TN/NQ = TR/RP. Similarly in triangle SPT, MR parallel to SP and therefor TR/RP = TM/MS. this implies TN/NQ = TM/MS . with this consider triangle TSQ. MN now must be parallel to SQ as it cuts sides TS and TQ in same ratio. Property used is that in a triangle, line parallel to base cuts the two other sides in same ratio.

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