# Circles

#### Question 12:

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 given figure). Find the sides AB and AC.

#### Answer:

Let the given circle
touch the sides AB and AC of the triangle at point E and F
respectively and the length of the line segment AF be *x.*

In ABC,

CF = CD = 6cm (Tangents on the circle from point C)

BE = BD = 8cm (Tangents on the circle f...

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