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All the sides of a triangle are integers.  If the perimeter of the triangle is $3,$ then how many different possible triangles are there?  (Assume that the triangle is non-degenerate.  Two triangles are considered the same if they are congruent.)

 Jan 18, 2025
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All the sides of a triangle are integers.  If the perimeter of the triangle is $3,$ then how many different possible triangles are there?  (Assume that the triangle is non-degenerate.  Two triangles are considered the same if they are congruent.)    

 

A triangle has three sides.  If the perimeter is 3, and the sides are integers,    

then each side has to be 1.  Only one triangle can satisfy these conditions.    

.     

 Jan 18, 2025

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