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Two congruent right triangles with sides of 3, 4, 5 are placed together so that one pair of corresponding sides touch and the resulting figure is another triangle. What would be the perimeter of the resulting triangle?

Answer :

Either 16 or 18 depending on whether the 4 sides or the 3 sides are touching.

5+5+3+3=16 (the 4s are touching)

5+5+4+4=18 (the 3s are touching)

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