78 ms·
Despite labels $a$, $b$, $c$, I don't see how it's fully general. At best you could say it works for similar triangles, if you have that concept. But I don't s
by orra 3y ago
Despite labels $a$, $b$, $c$, I don't see how it's fully general. At best you could say it works for similar triangles, if you have that concept.
But I don't see how it proves anything if $a$ were say doubled, and $b$ kept the same.
- n4r9 3y agoI'm not sure what you mean, sorry. It's definitely fully general. It demonstrates that: * For any real positive values $a$ and $b$ * let $T$ be the (unique) right-angled triangle with non-hypotenuse sides of length $a$ and $b$ * then $a$^2 = $b$^2 = $c$^2 * where $c$ is the (unique) length of the hypotenuse of $T$. You could give me the instance $a$ = 2, $b$ = 3 and it will prove it for this case. Then you could later double $a$ and give me the instance $a$ = 4, $b$ = 3 and it will prove it just as easily for this case.