Extending This Theorem?

Geometry Level 2

We know that Pythagorean theorem states for any right triangle with two short sides $a,b$ and the longest side $c$ , then $a^2 + b^2 = c^2$ is satisfied.

But is it possible that $a^3 + b^3 = c^3$ is also satisfied?

Yes No

1 solution

Viki Zeta
Sep 12, 2016

Using fermats last theorem, there is no posibility for any number a,b,c such that

$a^3+b^3=c^3$

Write the Proof Please :P

Sabhrant Sachan - 4 years, 9 months ago

This is not correct because the question didn't specify that the sides must be integers.

Pi Han Goh - 4 years, 9 months ago

Extending This Theorem?

1 solution

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