A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC.

Let o be the centre of a circle with a radius OD = 4 cm.

And ∆ABC circumscribe the circle.

And given that, BD = 8 cm and CD = 6 cm

Now, let &AC and AB intersect the circle at &E and Respectively.

To find the length of the sides AC and AB.

Since lengths of tangents drawn from the external points are equal.

Hence,&

The correct option is (B) 15 cm and 13 cm.