When two congruent isosceles triangles are joined to form a parallelogram, as shown in the first diagram, the perimeter of the parallelogram is 3cm longer than the perimeter of one of the triangles. When the same two triangles are joined to form a rhombus, as shown in the second diagram, the perimeter of the rhombus is 7cm longer than the perimeter of one of the triangles.
What is the perimeter of one of the triangles?
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Cayley Mathematical Olympiad 2005 (2005)
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