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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.)

 Mar 27, 2024

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 #1
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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 3 sides.  

All the way around is 3.  

Every side is an integer.  

Each side can equal only 1.  There is one triangle.  

.

 Mar 27, 2024
 #1
avatar+810 
+1
Best Answer

 

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 3 sides.  

All the way around is 3.  

Every side is an integer.  

Each side can equal only 1.  There is one triangle.  

.

Bosco Mar 27, 2024

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