Can a Triangle Be Scalene and Equiangular?
Answer and Explanation:
An equiangular triangle cannot be scalene. By definition, a scalene triangle is a triangle in which each side of the triangle has a different length.

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Beside this, can a scalene triangle be equilateral?

A triangle with all sides equal is called an equilateral triangle, and a triangle with no sides equal is called a scalene triangle. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides and angles equal.

Similarly, which triangle is both scalene and right? A right triangle is scalene if all three sides are a different length such as one with sides of 3, 4 and 5. You can have an isosceles right triangle with two sides the same length such as a 1, 1 and 2 sided triangle. An equilateral right triangle (all three sides equal) is not possible.

Accordingly, can an isosceles triangle be Equiangular?

An equilateral triangle is always equiangular (see below). In an isosceles triangle, two sides are the same length. An isosceles triangle may be right, obtuse, or acute (see below). In a scalene triangle, none of the sides are the same length.

How do you prove a triangle is a scalene?

The converse of this is also true - If all three angles are different, then the triangle is scalene, and all the sides are different lengths.

  1. Interior angles are all different.
  2. Shortest side is opposite the smallest angle.
  3. Longest side is opposite the largest angle.
  4. Area of a scalene triangle.
  5. Other triangle topics.
Related Question Answers

What is the formula of isosceles?

List of Formulas to Find Isosceles Triangle Area
Formulas to Find Area of Isosceles Triangle
Using length of 2 sides and angle between them A = ½ × b × c × sin(α)
Using 2 angles and length between them A = [c2×sin(β)×sin(α)/ 2×sin(2π−α−β)]
Area formula for isosceles right triangle A = ½ × a2

What are the 7 triangles?

To learn about and construct the seven types of triangles that exist in the world: equilateral, right isosceles, obtuse isosceles, acute isosceles, right scalene, obtuse scalene, and acute scalene. Geometry Sticks.
Elena Rostova

Elena Rostova

Lead Health, Wellness & Medical Journalist

Elena Rostova holds a Master's degree in Public Health Journalism. She covers groundbreaking medical research, holistic wellness trends, mental health awareness, and nutritional science.