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How many (non-congruent) isosceles triangles exist which have a perimeter of 10 and integer side lengths?

 Mar 3, 2022
 #1
avatar+23183 
+1

2-2-6

2-4-4

3-3-4

 Mar 3, 2022
 #2
avatar+1382 
+2

 2 - 2 - 6 triangle does not work, because 2 + 2 is less than 6.

 

Thus, the only working options are 3 - 3 - 4 and 2 - 4- 4, making \(\color{brown}\boxed{2}\) options. 

 Mar 4, 2022

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