Question

use the pythagorean theorem to find $ell$. pythagorean theorem: $a^{2}+b^{2}=c^{2}$

Explanation:

Step1: Identify right - triangle sides

Let $a = 2$ ft, $b = 3$ ft, and $c=\ell$.

Step2: Apply Pythagorean Theorem

$a^{2}+b^{2}=c^{2}$, so $\ell^{2}=2^{2}+3^{2}$.

Step3: Calculate the value

$\ell^{2}=4 + 9=13$.

Step4: Solve for $\ell$

$\ell=\sqrt{13}$ ft.

Answer:

$\sqrt{13}$