A scalene triangle is a three-sided polygon in which all sides have different lengths. This means that none of the angles are equal, making it an irregular triangle.
To prove that a triangle is scalene, you must show that all three sides have different lengths. This can be done by measuring each side with a ruler or by using the Pythagorean theorem to calculate the length of each side.
Proving a triangle is scalene is important because it helps to classify and categorize different types of triangles. It also helps to understand the properties and characteristics of a scalene triangle, which can be useful in various mathematical and scientific applications.
No, a triangle cannot be both scalene and equilateral. An equilateral triangle has three equal sides, while a scalene triangle has three different sides. Therefore, they are two distinct types of triangles and cannot be both at the same time.
Yes, it is possible for a triangle to be scalene and have two equal angles. This type of triangle is called an isosceles triangle and has two equal sides and two equal angles. However, it is not possible for a triangle to be scalene and have all three angles equal.