Question

trigonometric ratios given right triangle jkm, which correctly describes the locations of the sides in relation to ∠j? a is opposite, b is the hypotenuse, c is adjacent a is the hypotenuse, b is opposite, c is adjacent a is adjacent, b is opposite, c is the hypotenuse

Explanation:

Step1: Recall right - triangle side definitions

In a right - triangle, for a given acute angle, the hypotenuse is the longest side (opposite the right - angle), the opposite side is the side that does not form the given acute angle, and the adjacent side is the non - hypotenuse side that forms the given acute angle.

Step2: Identify sides relative to ∠J

For right - triangle JKM with right - angle at M, the hypotenuse is the side opposite the right - angle, so \(a\) is the hypotenuse. The side opposite ∠J is \(c\) and the side adjacent to ∠J is \(b\).

Answer:

a is the hypotenuse, b is adjacent, c is opposite. So the correct option is: a is the hypotenuse, b is adjacent, c is opposite (not exactly one of the provided options as they are incorrect in their descriptions). If we assume a correction in the options, the closest correct one would be: a is the hypotenuse, b is adjacent, c is opposite.