The length of the second side is 5/9 * 12 = <<5/9*12=6.666666666666667>>6.67 units
The length of the third side is 5/6 * 12 = 10 units
The perimeter of the triangle is 12 + 6.67 + 10 = <<12+6.67+10=28.67>>28.67 units. Answer: \boxed{28.67}.
The length of the first side of a triangle is 12 units. The length of the second side is 5/9 the length of the first side. Find the perimeter of the triangle if 6/5 of the length of the third side equals the length of the first side.
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