Question

When three side lengths can form a triangle that triangle is considered what

Answer 1

When three side lengths can form a triangle, they must satisfy the triangle inequality theorem. This theorem states that for any three sides \(a\), \(b\), and \(c\), the following conditions must be met:

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

If these inequalities hold true for the given side lengths, the triangle formed is considered a valid triangle. Depending on the specific lengths of the sides, the triangle can be classified further as follows:

- **Scalene Triangle**: All three sides have different lengths.
- **Isosceles Triangle**: Two sides are of equal length.
- **Equilateral Triangle**: All three sides are of equal length.

Additionally, triangles can also be classified based on their angles:
- **Acute Triangle**: All angles are less than 90 degrees.
- **Right Triangle**: One angle is exactly 90 degrees.
- **Obtuse Triangle**: One angle is greater than 90 degrees.