Question

1. the formula $a^{2}+b^{2}=c^{2}$ is called:

a. archimedes principle

b. fermats last theorem

c. pythagorean theorem

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 ($c$), which is expressed as $a^{2}+b^{2}=c^{2}$.

• Archimedes' Principle is related to buoyancy in fluid mechanics.
• Fermat's Last Theorem is about the non - existence of non - zero integer solutions for $x^{n}+y^{n}=z^{n}$ when $n > 2$.
• Euclid's Postulates are a set of axioms in geometry for plane geometry, not specifically this formula.

Answer:

C. Pythagorean Theorem