FTCE General Knowledge Math Practice Test

Which type of triangle has no equal sides?

1. Isosceles triangle

2. Equilateral triangle

3. Scalene triangle

4. Right triangle

The correct answer is: Scalene triangle

A triangle with no equal sides is classified as a scalene triangle. In a scalene triangle, all three sides are different lengths, and consequently, all three angles are also different measures. This distinct characteristic sets it apart from isosceles triangles, which have at least two equal sides, and equilateral triangles, which have all three sides equal. While a right triangle can be scalene, it is not inherently defined by side lengths; it is characterized by having one angle that is exactly 90 degrees. Therefore, while right triangles can be scalene, not all right triangles are scalene, as they can also have equal sides. The defining feature of a scalene triangle is that it has no sides of equal length.