Question

Find the length of a tangent drawn from a point $13$ cm away from the centre of a circle of radius $12$ cm.

Answer 1

The radius of circle and tangent and distance from center to tangent combine to give right angles triangle with distance from center to point of tangent as hypotenuse

So by Pyatagoreon theorm ,

${13}^2={12}^2+x^{2}169=144+x^2{x}^2=169-144x=\sqrt{25}=5$

So the length of tanget is $5$