1. In Δ PQR, given that S is a point on PQ such that ST II QR and PS/SQ=3/5 If PR = 5.6 cm, then find PT. 2. In Δ ABC, AE is the external bisector of <A, meeting BC produced at E. If AB = 10 cm, AC = 6 cm and BC = 12 cm, then find CE. 3. P and Q are points on sides AB and AC respectively, of Δ ABC. If AP = 3 cm,PB = 6 cm, AQ = 5 cm and QC = 10 cm, show that BC = 3 PQ. 4. The image of a tree on the film of a camera is of length 35 mm, the distance from the lens to the film is 42 mm and the distance from the lens to the tree is 6 m. How tall is the portion of the tree being photographed? 5. D is the midpoint of the side BC of Δ ABC. If P and Q are points on AB and on AC such that DP bisects <BDA and DQ bisects <ADC, then prove that PQ II BC. 6. If a straight line is drawn parallel to one side of a triangle intersecting the other two sides, then it divides the two sides in the same ratio. 7. If a straight line divides any two ...