# Three circles with radii 4, 5, 6cm respectively are tangent to each other externally. How do you find the angles of the triangle whose vertexes are the centers of the circles?

##### 1 Answer

Oct 8, 2016

Three angles are

#### Explanation:

Three circles with radii **sides are sum of their radii in pairs**.

Hence sides of triangle are

To find interior angles, we should solve this triangle.using cosine formula

Hence

and

Similarly

and

and

and

Hence, three angles are