Question

pythagorean theorem: find the length of the hypotenuse
coordinate plane review (100)

Explanation:

Step1: Recall Pythagorean theorem formula

For a right - triangle with legs of lengths $a$ and $b$ and hypotenuse of length $c$, the formula is $c=\sqrt{a^{2}+b^{2}}$.

Step2: Identify the lengths of the legs

Since the problem doesn't provide values for $a$ and $b$, we assume the lengths of the legs of the right - triangle are given as $a$ and $b$.

Step3: Calculate the hypotenuse

Substitute the values of $a$ and $b$ into the formula $c = \sqrt{a^{2}+b^{2}}$ to find the length of the hypotenuse.

Answer:

$c=\sqrt{a^{2}+b^{2}}$