How to define a type of a triangle

The triangle is the simplest of polygons. It is formed by three points lying in one plane, but not one straight line, which are in pairs connected by pieces. However triangles can be rather different and, as a result, have different properties.

Instruction

1. It is accepted to allocate six types triangles. Two classifications are the cornerstone of this division: on corners and on the parties. Classification by types of corners assumes division of triangles into acute-angled, rectangular and obtusangular. Classification by a ratio of the parties divides triangles into versatile, equilateral and isosceles. And each triangle at the same time belongs to two types. For example, it can be rectangular and versatile at the same time.

2. Defining a look be very attentive. Such triangle at which one of corners is stupid will be called obtusangular, that is makes Bol 90 degrees. The rectangular triangle can be calculated on presence of one direct (to equal 90 degrees) a corner. However to classify a triangle as acute-angled, you will need to make sure that all three of its corners are sharp.

3. Defining a type of a triangle based on the ratio of the parties, for a start you should learn lengths of all three parties. However if on a condition of length of the parties you are not given, corners will be able to help you. The triangle which all three parties have different length will be versatile. If lengths of the parties are unknown, then the triangle can be classified as versatile in case all three of its corners are different. The versatile triangle can be obtusangular, rectangular and acute-angled.

4. The triangle will be isosceles, two of three parties of which are equal among themselves. If lengths of the parties are not given you, be guided on two corners equal among themselves. Isosceles triangle, as well as versatile, maybe obtusangular, both rectangular and acute-angled.

5. Only such triangle which all three parties have identical length can be called equilateral. All its corners are also equal among themselves, and each of them is equal to 60 degrees. From here it is clear that equilateral triangles always are acute.