cmi-entrance 2018 QA8

cmi-entrance · India · ugmath 4 marks Not Maths
How many non-congruent triangles are there with integer lengths $a \leq b \leq c$ such that $a + b + c = 20$?
How many non-congruent triangles are there with integer lengths $a \leq b \leq c$ such that $a + b + c = 20$?