Given three side lengths, how many triangles can be formed?

A. 1

B. 2

C. 3

D. infinitely many

We know that

In a triangle, the combined lengths of any two sides must always be greater than the length of the third side. (Triangle Inequality Theorem)

If all three side lengths are given and the combined length of two sides is greater than the length of the third side.

then

one unique triangle can be made