Question

what is xy? xy =

Explanation:

Step1: Recognize right - triangle property

Since $YW$ is perpendicular to $XZ$ and $XZ$ is bisected at $W$ (the equal red - tick marks), triangle $XYW$ and $ZYW$ are congruent right - triangles. In right - triangle $ZYW$, we know the hypotenuse $YZ = 13$.

Step2: Apply Pythagorean theorem

In right - triangle $ZYW$, assume $YW$ is the height and $ZW$ is half of $XZ$. Since the two right - triangles $XYW$ and $ZYW$ are congruent, $XY=YZ$.

Answer:

$13$