# The length of the radius of two circles are 5 cm and 3 cm. The distance between their center is 13 cm. Find the length of the tangent who touches both the circles?

##### 1 Answer

Feb 2, 2017

#### Explanation:

Given :

radius of circle A = 5 cm,

radius of circle B = 3cm,

distance between the centers of the two circles = 13 cm.

Let

Length of common tangent

Construct line segment

By Pythagorean theorem, we know that

Hence, length of common tangent