Which description defines a scalene triangle?

Which description defines a scalene triangle?

• A. A triangle with at least two congruent sides
• B. A triangle with no congruent sides
• C. A triangle with all angles equal
• D. A triangle with one angle greater than 90 degrees

Answer: (B)

A scalene triangle is defined by its side lengths: all three sides have different lengths, so no two sides are equal. That’s why the description that says no two sides are equal (no congruent sides) is the correct match. If two sides were equal, the triangle would be isosceles. If all three sides were equal, it would be equilateral, with all angles also equal. The option mentioning a angle greater than 90 degrees describes an obtuse triangle, which is about angles, not how the sides compare in length. So the description of no congruent sides best captures what makes a triangle scalene.

A scalene triangle is defined by its side lengths: all three sides have different lengths, so no two sides are equal. That’s why the description that says no two sides are equal (no congruent sides) is the correct match. If two sides were equal, the triangle would be isosceles. If all three sides were equal, it would be equilateral, with all angles also equal. The option mentioning a angle greater than 90 degrees describes an obtuse triangle, which is about angles, not how the sides compare in length. So the description of no congruent sides best captures what makes a triangle scalene.