The circle with centre O is inscribed in the `DeltaABC` and its radius is 4 cm. The circle intersect the side BC at a point D in such a way that BD=8 cm and DC = 6cm . Determine the lengths of AB and AC.

AOB is diamter of a circle, If AC=3 cm and BC=4 cm then the length of AB is

In the isosceles triangle ABC, AB=AC, if a circle is drawn with the side AB as diamter then the circle intersects the side BC at the point D. When BD=4 cm , find the the length of CD.

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=

The point D and E are situated on the sides AB and AC of DeltaABC in such a way that DE||BC and AD : DB=3 :1 , If EA=3.3cm , then the length of AC is

In the trapezium ABCD , AB||DC and the two points P and Q are situated on the sides AD and BC in such a way that PQ||DC , if PD=18cm , BQ=35cm , QC=15cm , then the length of AD is.

In a trapezium ABCD, BC AD and AD = 4 cm. the two diagonals AC and BD intersect at the point O in such a way that AO/OC = DO/OB = 1/2. Calculate the length of BC.

In the adjoining figure, two tangents drawn from external point C to a circle with centre O touches the circel at the point P and Q respectively. A tangent drawn at another point R of the circle intersects CP and CQ at the points A and B respectively. If CP = 7 cm and BC =11 cm, then determine the length of BR.

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 .

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

In the adjoining figure, DeltaABC circumscribes a circle and touched the circle at the points P, Q, R. If AP =4 cm, BP=6cm, AC =12cm and BC =x cm, then determine the calue of x.