How many non congruent triangles with positive integer side lengths have perimeter less than 18?
+23245 In attempting to list them, I got
8 triangles with smallest side = 1
11 triangles with smallest side = 2
13 triangles with smallest side = 3
10 triangles with smallest side = 4
4 triangles with smallest sides = 5
we have to find how many non congruent triangles with positive integer side lengths have perimeter less than 18.
we have non congruent triangles with positive integer side lengths have perimeter less than 18 as
8+11+13+10+4=46 triangles.
8 triangles having smallest side = 1 unit
11 triangles having smallest side = 2 unit
13 triangles having smallest side = 3 unit
10 triangles having smallest side = 4 unit
4 triangles having smallest sides = 5 unit.
