Question

find x.
12 ft. 13 ft.
x = 90 feet
submit

Explanation:

Step1: Apply Pythagorean theorem

For right triangle: $a^2 + b^2 = c^2$, where $c=13$, $a=12$, $b=x$.
Rearrange to solve for $x$: $x = \sqrt{c^2 - a^2}$

Step2: Substitute known values

$x = \sqrt{13^2 - 12^2}$

Step3: Calculate squares

$x = \sqrt{169 - 144}$

Step4: Simplify the expression

$x = \sqrt{25}$

Step5: Compute square root

$x = 5$

Answer:

$x = 5$ feet