Question 77
There are two non-intersecting circles, of radii $r_1$ and $r_2$. The distance between the points of tangency of the inner common tangent to these circles is $12$, while the distance between the points of tangency of the outer common tangent to these circles is $16$. Determine the product $r_1 r_2$.
Inner tangent (is that common tangent that) intersects the segment between the centres of the circles.
Inner tangent (is that common tangent that) intersects the segment between the centres of the circles.