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 right triangle components relative to $\angle Y$:

• The hypotenuse is always the side opposite the right angle ($\angle Z$), so side $c$ is the hypotenuse.
• The adjacent side to $\angle Y$ is the side that forms the angle with the hypotenuse, which is side $a$.
• The opposite side to $\angle Y$ is the side that does not touch $\angle Y$, which is side $b$.

1. Match this to the given options.

Answer:

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