The line parallel to BC of `triangleABC` meets AB and AC at P and Q respectively. If AP = 4cm, QC = 9cm and PB = AQ, then find the length of PB.

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 P and Q respectively. If AP=QC , AB=12cm , AQ=2cm , then find the value of CQ .

In DeltaPQR , a straight line parallel to QR intersects PQ and PR at the points D and E respectively. If PD=2.4cm , PE=3.2cm and ER=4. 8cm , then the length of PQ is

In triangleABC , a straight line parallel to BC intersects AB and AC at P and Q respectively. If AB = 3PB, then PQ : BC =

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 .

Chords AB and CD of a circle intersect externally at P. If AB = 6 cm, CD = 3 am and PD = 5 cm, then the length of PB is ____

In triangle ABC, angle ABC =90^@ and BD bot Ac , if AB = 5 cm, BC = 12 cm, then find the length of BD.

In the adjoining figure, BX and CY are the bisectors of angle ABC and angle ACB respectively. If AB=AC and BY=4 cm, then find the lengths of AX.