Question

the formula $a^{2}+b^{2}=c^{2}$ is called:
a. fermats last theorem
b. pythagorean theorem
c. archimedes principle
d. euclids postulate

Explanation:

The Pythagorean Theorem states that in a right - angled triangle, the sum of the squares of the two legs ($a$ and $b$) is equal to the square of the hypotenuse ($c$), i.e., $a^{2}+b^{2}=c^{2}$. Fermat's Last Theorem is about the non - existence of non - trivial integer solutions for $x^{n}+y^{n}=z^{n}$ when $n > 2$. Archimedes' Principle is related to buoyancy. Euclid's Postulates are a set of basic statements in geometry for proving other theorems. So the formula $a^{2}+b^{2}=c^{2}$ is the Pythagorean Theorem.

Answer:

B. Pythagorean Theorem