Question

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

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, $a^{2}+b^{2}=c^{2}$, where $c$ is the hypotenuse. Here, $c = 13$ ft, $a = 12$ ft, and $b=x$. So, $x^{2}+12^{2}=13^{2}$.

Step2: Simplify the equation

$x^{2}+144 = 169$. Then, $x^{2}=169 - 144$.

Step3: Calculate the value of $x^{2}$

$x^{2}=25$.

Step4: Solve for $x$

Taking the square root of both sides, since $x$ represents a length (non - negative), $x=\sqrt{25}=5$.

Answer:

$5$