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Destructive interference has to do with the diffraction pattern which is when the peaks or troughs of waves traveling along one path interferes with the peaks and troughs of waves traveling along another path. Destructive interference is when the peaks of one wave interfere with the troughs of another wave and it causes the amplitude to decrease.
Just to add on, destructive interference occurs when waves come together in a way that they cancel each other out. While usually in between for a result of smaller amplitude, destructive interference can produce zero amplitude in the right conditions. Note that when two waves interfere destructively, they must typically have the same amplitude in opposite directions.
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