Question

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

Explanation:

Step1: Identify values for Pythagorean theorem

Let $b = 4$ ft and $c=9$ ft. The Pythagorean theorem is $a^{2}+b^{2}=c^{2}$. We want to find $a$, so we can rewrite it as $a^{2}=c^{2}-b^{2}$.

Step2: Substitute values into formula

$a^{2}=9^{2}-4^{2}=81 - 16$.

Step3: Calculate the result

$a^{2}=65$.

Step4: Solve for a

$a=\sqrt{65}$ ft.

Answer:

$\sqrt{65}$