Canadian Forces Aptitude Test (CFAT) Practice

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What type of triangle has all sides of different lengths?

Equilateral
Isosceles
Scalene
Right

The correct answer is: Scalene

A triangle with all sides of different lengths is classified as a scalene triangle. In a scalene triangle, not only are the sides unequal, but the angles opposite those sides are also different. This characteristic distinguishes it from other types of triangles where certain sides may be equal. For instance, an equilateral triangle has all three sides equal in length, which makes each angle 60 degrees. An isosceles triangle has at least two sides equal, leading to two equal angles as well. A right triangle can have all sides of different lengths, but it is defined primarily by having one angle equal to 90 degrees, not by the lengths of the sides. Thus, scalene is the correct classification for a triangle with all sides of different lengths, illustrating its unique property of having no equal sides or angles.