What triangle has no equal sides? *
A. Equilateral triangle
B. Isosceles triangle
C. Scalene triangle
The correct answer and explanation is:
The correct answer is C. Scalene triangle.
A scalene triangle is a type of triangle in which all three sides are of different lengths. This means none of the sides are equal. Because the sides are all different, the angles opposite those sides are also all different. No two sides or angles in a scalene triangle are the same.
To understand this better, let’s compare it with the other options:
A. Equilateral triangle has all three sides equal in length. Since all sides are equal, all the angles in an equilateral triangle are also equal, each measuring 60 degrees.
B. Isosceles triangle has at least two sides that are equal in length. It has two equal sides and two equal angles opposite those sides. The third side is different.
On the other hand, the scalene triangle stands out because it has no equal sides or angles. Each side is a different length, and each angle is a different measure. This lack of equality makes it unique among triangles.
Scalene triangles can be acute, obtuse, or right triangles depending on their angles. An acute scalene triangle has all angles less than 90 degrees. An obtuse scalene triangle has one angle greater than 90 degrees. A right scalene triangle has one right angle (90 degrees) and the other two angles are acute but different from each other.
In summary, the defining feature of a scalene triangle is that no two sides are equal, distinguishing it from equilateral and isosceles triangles, where some sides must be equal. This property affects the triangle’s angles and overall shape, making the scalene triangle the triangle with no equal sides.