What sides are the Adjacent, Hypotenuse, Opposite?

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Step-by-step explanation:

The hypotenuse is the longest side, XZ (15). It is opposite the right angle (Y).

The segments adjacent to Z are the ones with Z in their name: ZX and ZY. When we talk about the "side" or "leg" adjacent to Z, we are usually not interested in the hypotenuse ZX. We refer to that as the "hypotenuse." So, the side or leg "adjacent" to Z is ZY, of length 12.

The segment opposite to Z is the one that does not have Z in its name: XY.

  sin(Z) = Opposite/Hypotenuse = XY/XZ = 9/15 = 3/5

  cos(Z) = Adjacent/Hypotenuse = YZ/XZ = 12/15 = 4/5

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step-by-step explanation:

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right