Question

find the value of b. pythagorean theorem: a² + b² = c² b = √?

Explanation:

Step1: Identify values for Pythagorean theorem

Let $a = 5$, $c=12$.

Step2: Rearrange the Pythagorean theorem

We know $a^{2}+b^{2}=c^{2}$, so $b^{2}=c^{2}-a^{2}$.

Step3: Substitute values

$b^{2}=12^{2}-5^{2}=144 - 25$.

Step4: Calculate the value inside the square - root

$b^{2}=119$.

Answer:

$\sqrt{119}$