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How many non congruent triangles with positive integer side lengths have perimeter less than 15?

 

Please note: the sum of any two sides is greater than the third!

 Dec 5, 2020
 #1
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Using casework on the smallest side, and list triangles:

(2,6,7)

(3,5,7)

(4,4,7)

(5,5,5)

 

===> four triangles

 Dec 5, 2020
 #2
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please read the question. It says less than 15

 Dec 5, 2020

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