In `triangle PQR`, M is the midpoint of side QR. If PQ=11, PR=17 and QR=12, then find PM.

In triangle PQR , point S is the midpoint of side QR. If PQ=11, PR=17, PS=13, then find QR.

Seg PM is a median of triangle PQR . If PQ=40, PR=42 and PM=29, find QR.

M is midpoint of seg PQ. Find PM, if PQ=13 cm.

In the figure , S is the midpoint of seg PQ . Line ST || side QR and PT = 5 cm , then find PR. Justify your answer.

In triangle ABC , point M is midpoint of side BC. If AB^2+AC^2=290cm^2 and AM=8 cm, find BC.

In triangle PQR , seg RS is bisector of /_PRQ . PS=6, SQ=8, PR=15. Find QR.

In triangle PQR , seg PM is a median. PM=10 and PQ^2+PR^2=328 , then find QR.

In the adjoining figure, if PQ=6, QR=10, PS=8, then find TS.

In the adjoining figure,seg QR is a chord of the circle with centre O. P is the midpoint of the chord QR. If QR=24, OP=10, find radius of the circle. To find solutions of the problem , write the theorems that are useful , Using them, solve the problem.

In the adjoining figure, point Q is the point of contact of tangent and the circle. If PQ=12, PR=8, then find PS and RS.