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Let ABCABCABC be a triangle with AB=5,AC=4,BC=6AB = 5, AC = 4, BC = 6AB=5,AC=4,BC=6. The angle bisector of CCC intersects side ABABAB at XXX. Points MMM and NNN are drawn on sides BCBCBC and ACACAC, respectively, such that XM‾∥AC‾\overline { XM } \parallel \overline { AC } XM∥AC and XN‾∥BC‾\overline { XN } \parallel \overline { BC } XN∥BC. Compute the length MNMNMN.
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