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 side - angle relationships

In a right - triangle, for a given non - right angle, the side opposite the angle is the one that does not form the angle with the hypotenuse. The side adjacent to the angle is one of the two sides that form the angle (excluding the hypotenuse). The hypotenuse is the longest side opposite the right angle.

Step2: Analyze with respect to ∠Y

For ∠Y in right - triangle XYZ, side b is opposite ∠Y as it does not share a side with ∠Y other than the hypotenuse. Side a is adjacent to ∠Y as it is one of the sides that form ∠Y. Side c is the hypotenuse as it is opposite the right - angle at Z.

Answer:

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