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All the sides of a triangle are integers.  If the perimeter of the triangle is $5,$ 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.)

 Jun 5, 2024

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 #1
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Well, there is actually only 1 possible. 

 

2-2-1 wis the only one that works. 

 

Others wouldn't satisfy the triangle inequality theorems. 

 

Thanks! :)

 Jun 5, 2024
 #1
avatar+759 
+1
Best Answer

Well, there is actually only 1 possible. 

 

2-2-1 wis the only one that works. 

 

Others wouldn't satisfy the triangle inequality theorems. 

 

Thanks! :)

NotThatSmart Jun 5, 2024

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