Which statement describes a scalene triangle?

Which statement describes a scalene triangle?

• A. All three sides equal
• B. No equal sides or angles
• C. Two equal sides
• D. Two equal angles

Answer: (B)

A scalene triangle is defined by three sides of different lengths, and that also means all three angles are different because equal angles sit opposite equal sides. So there are no equal sides and no equal angles in a scalene triangle. This matches the statement describing scalene triangles. For example, a 3-4-5 triangle has all sides of different lengths and all three angles of different measures, illustrating the idea. The other descriptions describe other types: having all sides equal is an equilateral triangle, having two equal sides is an isosceles triangle, and two equal angles would imply some sides are equal, which is not scalene.

A scalene triangle is defined by three sides of different lengths, and that also means all three angles are different because equal angles sit opposite equal sides. So there are no equal sides and no equal angles in a scalene triangle. This matches the statement describing scalene triangles. For example, a 3-4-5 triangle has all sides of different lengths and all three angles of different measures, illustrating the idea. The other descriptions describe other types: having all sides equal is an equilateral triangle, having two equal sides is an isosceles triangle, and two equal angles would imply some sides are equal, which is not scalene.