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All the sides of a triangle are integers, and the perimeter is 15. How many different possible triangles are there? (Assume that the triangle is non-degenerate. Two triangles are considered the same if they are congruent.)

 Sep 16, 2021
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Let a, b, c be the three non negative integer sides of the triangle, where a <= b <= c. 

The triangular inequality tells us that a + b > c. 

List out the possible a, b, and c sides. :))

 

=^._.^=

 Sep 17, 2021

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