Question

identify the hypotenuse of $\triangle wxy$.

$\overline{xy}$
$\overline{yz}$
$\overline{wx}$
$\overline{wy}$

Explanation:

Step1: Recall hypotenuse definition

In a right - triangle, the hypotenuse is the side opposite the right angle and is the longest side of the right - triangle.

Step2: Analyze \(\triangle WXY\)

In \(\triangle WXY\), \(\angle W\) is a right angle (as indicated by the right - angle symbol at \(W\)). The sides of the triangle are \(\overline{WX}\), \(\overline{WY}\), and \(\overline{XY}\). The hypotenuse is the side opposite the right angle. The right angle \(\angle W\) is between sides \(\overline{WX}\) and \(\overline{WY}\), so the side opposite \(\angle W\) is \(\overline{XY}\).

Answer:

\(\overline{XY}\)