The straight line parallel to the side `BC` of `DeltaABC` intersects the sides `AB` and `AC` at the points `D` and `E` respectively. Then `(AB)/(BD)=(AC)/(CE)`.

A line parallel to the side BC of DeltaABC intersects the sides AB and AC at the points x and Y respectively. If AX=2.4cm , AY=3.2cm and YC=4.8cm , then the length of AB is

A line parallel to the side BC of DeltaABC intersects the sides AB and AC at the points P and Q respectively. (a) If PB=AQ , AP=9 units, QC=4 units, then calculate the length of PB . (b) The length of PB is twice of AP and the length of QC is 3 units more than the length of AQ , then calculate the length of AC . (c ) If AP=QC , the length of AB is 12 units and the length of AQ is 2 units , then calculate the length of CQ .

DeltaABC and DeltaDBC are situated on the same base BC and on the same side of BC . E is any point on the side BC . Two line through the point E and parallel to AB and BD intersects the sides AC and DC at the points F and G respectively. Prove that AD||FG .

In DeltaABC a straight line parallel to BC intersects the sides AB and AC at the points P and Q respectively. If AP=QC , AB=12cm , AQ=2cm , then find the value of CQ .

In triangleABC , a straight line parallel to BC intersects the sides AB and AC at P and Q respectively. If AP = 8cm, CQ = 9cm and AQ = 2BP, then BP=

In DeltaABC , a straight line parallel to BC intersects the sides AB and AC at the points L and M . If the length of AM be thrice of the length of AL , then BL:CM=

In DeltaABC the straight line DE parallel to BC intersects the other two sides at the points D and E respectively. If AB=4.2cm , AC=3.6cm and AD=6.3cm and AD=6.3cm , then AE=

The diagonals AC and BD of the parallelogram ABCD intersect each other at O . Any straight line passing through O intesects the sides AB and CD at the points P and Q respectively . Prove that OP = OQ.

In DeltaABC , AB = AC. The perpendiculars drawn from B and C to AC and AB respectively, intersect the sides AC and AB at the points E and F respectively. Prove that FE||BC.

In Delta ABC,AB= AC, BE and CF are resepectively the bisectors of angle ABC and angle ACB and itersect the sides AC and AB at the points E and F resepectively. Then four points B,C,E,F are not concylic.