The classifications of a triangle are:
The question "What are the classifications of a triangle" is answered elsewhere. The angles in a triangle can be either an obtuse >90 degrees, an acute <90 degrees, or a rectal = 90 degrees
trianglessj
Unilateral & Isosoles
Equalateral, Isosceles, Scalene; Acute, Obtuse, Right
Classifications by side length or comparison of angles and sides:scalene - no sides or angles equalisosceles - two sides and angles equal (congruent)equilateral - all sides and angles equal (all 60° angles)Classifications by included angles :right triangle - contains a 90° angle (right angle)oblique triangle - has no right angleacute triangle - contains all angles less than 90°obtuse triangle - contains one angle greater than 90°*Note that a triangle can be more than one type. A right triangle is a special case of either a scalene or isosceles triangle.
The question "What are the classifications of a triangle" is answered elsewhere. The angles in a triangle can be either an obtuse >90 degrees, an acute <90 degrees, or a rectal = 90 degrees
trianglessj
Unilateral & Isosoles
Triangles fall into the following 5 classifications:- 1 Scalene triangle 2 Right angle triangle 3 Obtuse triangle 4 Isosceles triangle 5 Equilateral triangle
Equalateral, Isosceles, Scalene; Acute, Obtuse, Right
Classifications by side length or comparison of angles and sides:scalene - no sides or angles equalisosceles - two sides and angles equal (congruent)equilateral - all sides and angles equal (all 60° angles)Classifications by included angles :right triangle - contains a 90° angle (right angle)oblique triangle - has no right angleacute triangle - contains all angles less than 90°obtuse triangle - contains one angle greater than 90°*Note that a triangle can be more than one type. A right triangle is a special case of either a scalene or isosceles triangle.
Classifications by side length or comparison of angles and sides:scalene - no sides or angles equalisosceles - two sides and angles equal (congruent)equilateral - all sides and angles equal (all 60° angles)Classifications by included angles :right triangle - contains a 90° angle (right angle)oblique triangle - has no right angleacute triangle - contains all angles less than 90°obtuse triangle - contains one angle greater than 90°
Classifications by side length or comparison of angles and sides:scalene - no sides or angles equalisosceles - two sides and angles equal (congruent)equilateral - all sides and angles equal (all 60° angles)Classifications by included angles :right triangle - contains a 90° angle (right angle)oblique triangle - has no right angleacute triangle - contains all angles less than 90°obtuse triangle - contains one angle greater than 90°
Classifications by side length or comparison of angles and sides:scalene - no sides or angles equalisosceles - two sides and angles equal (congruent)equilateral - all sides and angles equal (all 60° angles)Classifications by included angles :right triangle - contains a 90° angle (right angle)oblique triangle - has no right angleacute triangle - contains all angles less than 90°obtuse triangle - contains one angle greater than 90°
There is no such thing as a "random" triangle. Therefore, there is nothing more to explain. To know more on the classifications of how the names of triangles are classified, please see the following question on this site: Is there such thing as an obtuse right triangle? Thank you.
An isoceles triangle has at least two sides equal; an equilateral has three sides equal so it is also isoceles; and since all angles are acute it is also an acute traingle
The seven levels of classification are organized in a triangle because it shows the relationship between each level, with broad categories at the top and specific groups at the bottom. The triangle is upside down to reflect the idea that as you move down the levels, you are moving from general to specific classifications.