Based on the triangle inequality theorem which of the following types of triangles is possible

Answer 1

The triangle inequality theorem states that for any triangle with sides of lengths \( a \), \( b \), and \( c \), the following inequalities must hold true:

1. \( a + b > c \)
2. \( a + c > b \)
3. \( b + c > a \)

Using this theorem, we can determine if a set of side lengths can form a valid triangle.

If you provide specific lengths or types of triangles (such as scalene, isosceles, or equilateral), I can help you evaluate which configurations are possible based on the triangle inequality theorem.