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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

 Aug 25, 2023
 #1
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The answer is 52:

 

https://www.gauthmath.com/solution/2-Four-copies-of-the-triangle-shown-are-joined-together-without-gaps-or-overlaps-1698071286729733

 Aug 25, 2023
 #2
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You can assemble four triangles to form a rhombus where each side length is 13.  Therefore, the largest possible perimeter is 4*13 = 52.

 

 Aug 26, 2023

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