Question

Given Three Side Lengths, How Many Triangles Can Be Formed?

Answer 1

If the longest length is greater than than the sum of the lengths of the other two, none.

If the longest length is equal to the sum of the lengths of the other two, one degenerate triangle. (collapsed into a line segment)

If the longest length is less than the sum of the lengths of the other two and two of the lengths are equal, one isosceles triangle.

If the longest length is less than the sum of the lengths of the other two and no two of the lengths are equal, two congruent triangles which are mirror images of one another.

Hope this helps!