Eden.....about two years ago, I devised a simple shortcut that I call my "Slide Rule". Please go to YouTube and watch my video to see for yourself. It allows you to estimate the length of the hypotenuse from the known leg lengths and the answer is always within +/- 5% of what the Pythagorean Theorem would provide. It's so easy to learn, in fact, that, with just a little practice, you can learn to do it "in your Head" for ANY triangle, WITHOUT a calculator!!! The video's about 10 minutes long......
Note that the original post, and Eden's reply, were about 14 years ago.
Debbie's account is deactivated, and I haven't seen Eden around for some time.
Nevertheless, yours is a nice video of an impressive method.
I have an easy to use shortcut for you Debbie. Just go to my YouTube video and see just how easy it is for yourself......
Kathi Leroy The numbers are squared, added and then the the square root is taken - oh wait that is Pythagorean theorem. Essentially this is normalized to a base one to get the multiplication factor . Eg SQRT(0.57^2+1^2) = 1.15 and in the box in the "slide rule" the value is rounded up to 1.2. Another one is SQRT(0.32^2+1^2) = 1.04 rounded up to 1.1 - perhaps a graph will have less errors as the discrete jumps will be eliminated. Nothing special here.