Four copies of the triangle shown below are joined together to form a parallelogram. (The triangles cannot overlap, and there cannot be any gaps.) What is the largest possible perimeter of the parallelogram? side lengths are 5 12 13
The answer is 52:
https://www.gauthmath.com/solution/2-Four-copies-of-the-triangle-shown-are-joined-together-without-gaps-or-overlaps-1698071286729733
You can assemble four triangles to form a rhombus where each side length is 13. Therefore, the largest possible perimeter is 4*13 = 52.
