You only need the length of the hypoternuse (20", x2.54 for cm) and the angle, which you use the aspect ratio to calculate, using an inverse tangent. So in the case of a 16:10 widescreen, you do inv tan ( 10 / 16 ) which gets you the angle (32.0 degrees), then it's just cosine or sine of that angle multiplied by the hypoternuse (20 inches) for the two sides you want.
You need to do some simple rearranging of the trig equations to get to that point. You'll remember SOH CAH TOA, so Sin (angle) = Opp/Hyp, Cos (angle) = Adj/Hyp and Tan (angle) = Opp/Adj. Those are rearranged to Opp = Sin (angle) * Hyp and Adj = Cos (angle) * Hyp, in both cases both sides of the equations have been multiplied by Hyp, and finally angle = inv tan ( opp/adj ) where inv tan has been applied to both sides.
Atomic/
Yep, taller and much wider than a 17" CRT (which are 16" visible). Slightly taller than a 19" CRT. Same height as 17" TFT.