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XYZ is a triangle with side lengths in the ratio 2 : 3 : 4. The perimeter of XYZ is 27 yards. Find the length of the longest side.
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\[a=2k\quad b=3k\quad c=4k\]\[2k+3k+4k=9k=27\quad ,k=3\]\[a=6\quad b=9\quad c=12\]
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