FTCE General Knowledge Math Practice Test

Which type of triangle has all three sides and angles equal?

1. Scalene Triangle

2. Obtuse Triangle

3. Isosceles Triangle

4. Equilateral Triangle

The correct answer is: Equilateral Triangle

The correct choice is indeed the equilateral triangle. An equilateral triangle is defined by the characteristic that all three sides are of equal length and all three angles are equal, with each angle measuring 60 degrees. This symmetry is a defining feature of equilateral triangles, distinguishing them from other types of triangles where the sides and angles can vary in length and measure. In contrast, a scalene triangle has no sides or angles that are equal, making it quite distinct. An obtuse triangle has one angle greater than 90 degrees but does not necessarily have equal sides or angles. An isosceles triangle features two sides that are equal in length and the angles opposite those sides are equal, but it does not have the property of all three sides being equal. Thus, the equilateral triangle stands out as the unique type where all sides and angles are congruent.