Question

what is the formula for finding the hypotenuse? a + b = c a - b = c c - a = c a^{2}+b^{2}=c^{2}

Explanation:

Step1: Recall Pythagorean theorem

In a right - triangle with legs of lengths \(a\) and \(b\) and hypotenuse of length \(c\), the relationship is given by \(a^{2}+b^{2}=c^{2}\). Solving for \(c\) (the hypotenuse), we get \(c = \sqrt{a^{2}+b^{2}}\). The formula \(a^{2}+b^{2}=c^{2}\) is the fundamental Pythagorean formula related to finding the hypotenuse.

Answer:

\(a^{2}+b^{2}=c^{2}\)