tangents Questions

The centres of two circles of radii 20cm and 32cm are 60cm apart. What is the ratio of the length of the direct common tangent to the length of the transverse common tangent to these circles?

Two circles with radii $r_1$ and $r_2$ respectively, touch each other externally. Let $R$ be the radius of a circle that touches these two circles as well as their common tangent line. Which of the following relations is true?