Mathematics

Problem

Two concentric circles have the same centre

O

and radii

5\,\text{cm}

and

7\,\text{cm}

. From an external point

P

, the length of the tangent to the smaller circle is

12\,\text{cm}

. What is the length of the tangent drawn from

P

to the larger circle, correct to the nearest centimetre? a)

14\text{ cm}

11\text{ cm}

10\text{ cm}

12\text{ cm}