Little explorations with HP calculators (no Prime)

04072017, 10:04 PM
(This post was last modified: 04072017 10:06 PM by Gerson W. Barbosa.)
Post: #147




RE: Little explorations with the HP calculators
(04072017 09:26 PM)pier4r Wrote: About the proof. I learned the hard way that showing the correct result may be a coincidence, while proving it is something different. If you just "prove" with a result it is like a proof by example, so, no proof. I have presented two solutions to the problem. Both assume the shape of the figure is irrelevant as long as the required conditions are met, which is quite clear to me. Both give of course the same correct answer to the problem – and this is no coincidence. I didn't need a second solution, I just wanted one that avoided many instances of the law of cosines and two instances of Heron's formula. These are not particularly brilliant or simple solutions I recognize, but if they are not valid solutions then I have no idea wha valid ones should be like. 

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