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:

1. First, identify the hypotenuse: in a right triangle, the hypotenuse is always the side opposite the right angle. Here, the right angle is ∠Z, so side $c$ (XY) is the hypotenuse.
2. For ∠Y:

• The adjacent side is the one that forms the angle with the hypotenuse, which is side $a$ (ZY).
• The opposite side is the one that does not touch the angle, which is side $b$ (XZ).

1. Match this to the options: $a$ is adjacent, $b$ is opposite, $c$ is the hypotenuse.

Answer:

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