Given triangle ABC, lines are drawn through A, B and C parallel respectively to the sides BC, CA and AB forming PQ .
Show that BC=`1/2`QR

In triangle ABC, a line parallel to BC cuts AB and AC at P and Q. Show that AP/AB= AQ/A C

In triangle ABC, a line parallel to BC meets AB and AC at D and E respectively. If AE=4.5, cm, AD/DB =2/5.What is the length of EC ?

Choose 3, 4, 5 points other than vertices respectively on the sides AB, BC and CA of a Delta ABC . The number of triangles that can be formed by using only these points as vertices, is a)220 b)217 c)215 d)205

In the parallelogram ABCD , the line drawn through Q point P on AB , parallel to BC meets AC at Q . The line through Q , parallel to AB meets AD R . Prove that (AP)/(PB)=(AR)/(RD) . .

In triangle ABC , AB = 9 cm, AC = 7 cm and angle A=70^@ . Draw triangle ABC . Divide the side BC in the ration 9:5.

In the picture below, the lines, parallel to side of triangle A B C through the оррosite vertex are drawn to make the triangle PQR. a) Draw this picture, Draw the lines BQ, CP and AR. b) The triangles. ABP, AQC and BRC have the same arẹa as that of triangle A B C. Why? c) Find another 4 triangles of same area as that of triangle A B C from the picture which you have drawn and write their names.