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. Identify ∠Y: It is at vertex Y of the right triangle.
2. Hypotenuse: The longest side opposite the right angle, which is side $c$ (XY).
3. Adjacent side to ∠Y: The side that forms ∠Y and is not the hypotenuse, which is side $a$ (ZY).
4. Opposite side to ∠Y: The side that does not touch ∠Y, which is side $b$ (XZ).

Answer:

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