Question

2. A triangle ABC is drawn to circumscribe a circle of radius
4 cm such that the segments BD and DC into which BC is
divided by the point of contact D are of lengths 8 cm and 6
cm respectively (see fig. 4). Find the sides AB and AC.​

Answer 1

Answer:

Given : A circle whose radius is 4cm and is inscribed in a triangle ABC. BD =6cm and CD = 8cm. We know that the length of tangents drawn from the external point to a circle are of equal lengths. Hence, BE = BD =6cm and CF = CD = 8cm.