This article is about triangles in which the lengths of the sides and the radii of the inscribed circles are all whole numbers.
Two tangents are drawn to the other circle from the centres of a pair of circles. What can you say about the chords cut off by these tangents. Be patient - this problem may be slow to load.
A hexagon, with sides alternately a and b units in length, is inscribed in a circle. How big is the radius of the circle?
Prove:
$\begin{equation} \frac{1}{r} = \frac{1}{h_1} + \frac{1}{h_2} + \frac{1}{h_3} = \frac{1}{r_1} + \frac{1}{r_2} + \frac{1}{r_3}. \end{equation}$