There are many kinds of triangles in geometry. The knowledge of kinds of triangles in geometry may be an elementary one but it can be quite important. School children need to know the kinds of triangles in geometry since it may be a part of their curriculum. The knowledge of the kinds of triangles in geometry can also help one solve more difficult geometric sums.
The various kinds of triangles in geometry are based on the sides of the triangle as well as the angles of the triangle. Depending upon which parameter is being taken into consideration the triangles are classified.
The kinds of triangles based on the angles of the triangle are as follows-
As the name suggest all the angles in the triangle are equal to each other. This phenomenon is only possible if the sides of the angles are of same length and each angle formed is 60 degrees. If each angle is greater or lesser than 60 degrees then they cannot be added to give the 180 degrees it takes to ensure that the figure is a triangle.
An acute angle must be less than 90 degrees. So in an acute angle triangle all the angles of the triangle must clearly be less than 90 degrees each.
Obtuse angles are angles which are greater than 90 degrees but lesser than 180 degrees. So, in an obtuse triangle one angle must be an obtuse angle while the other two are acute angles.
Right angle triangle
A right angle is one which is equal to 90 degrees. In a right angle triangle one angle must be equal to 90 degrees.
When the measurements of the sides of the angles are taken into consideration then the kinds of triangles are as follows:-
The word equilateral gives away the kind of triangle it is. Equilateral triangles exhibit sides having the same length. So, all the three sides of the triangle are equal to each other. Since all the arms are equal to each other all the angles in the triangle are also equal to each other. The sum of all the angles in a triangle must be equal to 180 degrees so each angle of the equilateral triangle must be of 60 degree.
In this triangle only two arms or sides of the triangle are equal to each other. The third side can be of any length in an isosceles triangle, so long as two arms are of the same measurement. The fact that two arms are of the same length means that the angles formed by each equal arm with the unequal arm is equal to each other.
This triangle has three sides having different measurements; no two arms are of the same measurement. This also means that no two angles of the scalene triangle are equal.
These are the various kinds of triangle in geometry that one must keep in mind. If all the sides and angles are memorized it is not hard to know all the kinds of triangles by heart.