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 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 triangle PQR , angle Q= 85^@ and angle R= 65^@ . Points S and T are on the sides PQ and PR, respectively such that angle STR = 95^@ , then the ratio of QR and ST is 9:5. If PQ=21.6 cm, then the length of PT is: triangle PQR में, angle Q= 85^@ तथा angle R= 65^@ है | बिंदु S तथा T क्रमशः भुजाओं PQ और PR पर इस तरह स्थित है कि angle STR = 95^@ है | QR तथा ST का अनुपात 9 : 5 है | यदि PQ =21.6 सेमी है, तो PT की लंबाई ज्ञात करें |

In the adjoining figure, S and T are points on the sides PQ and PR respectively of DeltaPQR such that PT=2cm, TR=4 cm and ST is parallel to QR. Find the ratio of the ares of Delta PST and Delta PQR .

In a square PQRS, X and Y are mid points of sides PS and QR respectively. XY and QS intersect a t O. Find the area of Delta XOS, if PQ = 8 cm.