What type of triangle has all three sides and angles being unequal?

What type of triangle has all three sides and angles being unequal?

• A. Isosceles
• B. Equilateral
• C. Scalene
• D. Right

Answer: (C)

A triangle that has all three sides and angles unequal is classified as a scalene triangle. In a scalene triangle, not only are the lengths of the sides different from each other, but the measures of the angles are also distinct from one another. This characteristic gives the scalene triangle its unique property, making it unlike the other types of triangles. For example, in an isosceles triangle, at least two sides are of equal length, which also means that the angles opposite those sides are equal. An equilateral triangle has all three sides of equal length and all three angles equal. A right triangle, while it can also have sides of different lengths, specifically includes one angle that measures 90 degrees, and it may not fulfill the condition of having all unequal angles. Thus, a scalene triangle represents the situation where each side length and angle measurement is uniquely different, clearly supporting the definition provided in the question.

A triangle that has all three sides and angles unequal is classified as a scalene triangle. In a scalene triangle, not only are the lengths of the sides different from each other, but the measures of the angles are also distinct from one another. This characteristic gives the scalene triangle its unique property, making it unlike the other types of triangles.

For example, in an isosceles triangle, at least two sides are of equal length, which also means that the angles opposite those sides are equal. An equilateral triangle has all three sides of equal length and all three angles equal. A right triangle, while it can also have sides of different lengths, specifically includes one angle that measures 90 degrees, and it may not fulfill the condition of having all unequal angles.

Thus, a scalene triangle represents the situation where each side length and angle measurement is uniquely different, clearly supporting the definition provided in the question.