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All the sides of a triangle are integers, and the perimeter is 12. How many different possible triangles are there? (Assume that the triangle is non-degenerate. Two triangles are considered the same if they are congruent.) Please note, the triangle inequality states that the sum of any two sides are greater than the third side! Be sure to use that!!!

 Sep 17, 2020
 #1
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There are 8 triangles that work.

 Sep 17, 2020
 #2
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Really? If you can do more then 3, I'll give you 2 ++wink

 

Only four integers can be used: 2, 3, 4 and 5

 

1st  Δ    2, 5, 5

 

2nd Δ    3, 4, 5

 

3rd Δ    4, 4, 4

jugoslav  Sep 18, 2020

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