Question

given right triangle xyz, which correctly describes the locations of the sides in relation to ∠y? a is opposite, b is adjacent, c is the hypotenuse a is the hypotenuse, b is opposite, c is adjacent a is adjacent, b is the hypotenuse, c is opposite a is adjacent, b is opposite, c is the hypotenuse

Explanation:

Step1: Recall right - triangle side definitions

In a right - triangle, the hypotenuse is the side opposite the right - angle. For an acute angle in a right - triangle, the adjacent side is the non - hypotenuse side that forms the angle, and the opposite side is the side that does not form the angle.
In right - triangle $XYZ$ with right - angle at $Z$, for $\angle Y$:
The side opposite $\angle Y$ is $b$ (the side that does not form $\angle Y$).
The side adjacent to $\angle Y$ is $a$ (the non - hypotenuse side that forms $\angle Y$).
The hypotenuse is $c$ (the side opposite the right - angle $\angle Z$).

Answer:

a is adjacent, b is opposite, c is the hypotenuse