Side of a square PQRS is 4 cm long. `bar(PR)` is pro-duced to the point M such that `PR = 2RM`. Find SM.

Side of a square PQRS is 4 cm long . overline PR is proudced to the point M such that PR=2RM . Find SM.

PQRS is a square. If PQ = 10 cm, then PR = …………… cm.

In figure, the side QR of Delta PQR is produced to a point S. If the bisectors. of /_PQR and /_PRS meet at point T, then prove that /_QTR = 1/2 /_QPR .

In trapezium PQRS ,side PQ|| side SR . Diagonals PR and QS intersect each other at point M . PQ=2RS . Prove that PM=2RM and QM=2SM .

PQ is a line segment 12cm long and R is a point in its interior such that PR=8cm, then find QR,PQ^(2)-PR^(2) and PR^(2)+QR^(2)+2PR*QR

In the figure, PQRS is a parallelogram with PQ = 16 cm and QR = 10 cm. L is a point on PR such that RL : LP = 2:3 . QL produced meets RS at M and PS produced at N. Find the lengths of PN and RM.

PQ is line segment 12cm long and R is a point in its interior such that PR=8cm, then find QR,PQ^(2)-PR^(2) and PR^(2)+QR^(2)+2PR.QR

In the adjacent figures, S and T are points on the sides PQ and PR respectively of triangle PQR such that PT = 2cm, TR = 4cm and ST||QR . Find the ratio of the areas of triangle PST and triangle PQR .

In a Delta PQR , N is point on PR such that QN _|_ PR , also PN.NR = QN^(2) . Then find /_ PQR