A triangle ABC is drawn to circumscribe a circle of radius4cm such that the segments BD and DC into which BC isdivided by the point of contact D are of lengths 8 cm and 6cm respectively (see fig). Find the sides AB and AC

In the given figure, ∆ABC has points D and F in AC andpoint E in BC such that DE ∥ AB and EF ∥ BD. If CF = 4 cmand AC = 9 cm, what is the length of DC?

and AC are tangents to the circle, centre O. AO is a straight line passing through BC at D. If AO 10.8 cm and OC = 4.3 cm find B a). AC, b). AB, D A c). ∠BAO, d). ∠AOB, e). OD, f). BD, g). ZOBD, h). ∠DBA.

In triangle ABC, angle C is a right angle. Point D lies on side AB, and point E lies on side BC. The line DE is parallel to side AC. If the length of side AB is 39 units, the length of DE is 8 units, and the length of side AC is greater than the length of side BC, and the area of triangle ABC is 270 square units, what is the length of side BE, in units?

ABCDEis a circle O . The diameter   AC is extended to the point F so that CF=16cm. The line BF is the tangent to the circle at B and FDE is a straight line such that FD=18cm andDE=14cm . The radius of the circle is rcm . Calculate(a) the length in cm of  FB(b) the value of  r .

In the diagram shown of right triangle BAC, m∠A=90, m∠B= 45 and AC = 8, what is the length of BC?