Draw a line n parallel to AC at the distance of h b . Draw a circle with center at A and radius h a . Extend CH b beyond H b . From B sweep and arc of radius m b . Let M 1 and M 2 be the points of intersection of the arc and the line CH b .
Several cases are possible.
If m b is too short to reach the line, there is no solutions. When M 1 and M 2 exist and are distinct, still there are two solutions corresponding to M 1 and M 2 . R, a, b Draw a circle of radius R and, in it, two chords that share an end. Now, concentrate on the median AM a , or rather on its two endpoints. B two A and M a are at a given ratio.