Question

A tangent is drawn from a point at a distance of 17 cm of circle of radius 8 cm. The length of its tangent is_______.​

Answer 1

Answer::

Let O is the center of the circle and tangent touches the circle at point T.

Then, triangle OPT will be a right angle triangle.

We are given,

OP=17cm,OT=radius = 8cm

So, PT2=OP2−OT2

PT2=172−82=289−64=225

PT=225−−−√=15cm

So, length of tangent will be 15 cm.

Step-by-step explanation: