Question

in the right triangle belowa. $overline{xy}$ and $overline{yz}$ are legs of the triangle.b. $overline{xy}$ and $overline{xz}$ are legs of the triangle.c. $overline{xy}$ is the hypotenuse of the triangle.d. $overline{xz}$ is the hypotenuse of the triangle.

Explanation:

In a right triangle, the legs are the two sides that form the right angle, and the hypotenuse is the side opposite the right angle (the longest side). In triangle $XYZ$, the right angle is at $X$, so the sides forming this angle are $\overline{XY}$ and $\overline{XZ}$, which are the legs. The hypotenuse is $\overline{YZ}$.

Answer:

B. $\overline{XY}$ and $\overline{XZ}$ are legs of the triangle.