# CBSE Class 10-Mathematics: Questions and Answers Chapter – 10 Circles Part 21 (For CBSE, ICSE, IAS, NET, NRA 2023)

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**Question 5**:

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 are of lengths 8 cm and 6 cm, respectively. Find the sides AB and AC.

**Answer**:

Let the sides BC, CA, AB of touch the in circle at D, E, F, respectively.

Join the center O of the circle with A, B, C, D, E, F

Since tangents to a circle from an external point are equal

Area of

Area of

Area

Area of

But is not possible

**Question 6**:

In the given figure, PT is tangent, and PAB is a secant. If , . Find the length PA.

**Answer**:

Join . Draw

Let radius of the circle

[ is radius and PT being a tangent]

Also, from right ,

Or