# What are the things that one should know about the concept of triangles?

#### ByManali

Dec 15, 2021

Any kind of closed shape which has three angles, three vertices, and three sides is known as a triangle and it can also be considered as a three-sided polygon. People need to be clear about the basic components of the triangle so that there is no mistake of any type and people can score well in mathematics exams. People need to be clear about the different classification of the triangles and further different types of triangles can be categorized into two main categories which are explained as:

1. Based on angles
2. Based on the measurement of the sides
• Based on angles the category of the triangle has been perfectly explained as follows:
1. A triangle in which all the angles of the triangle will be less than 90° will be known as the acute triangle
2. When one of the angles of the triangle will be 90° it will be known as the right-angled triangle
3. When one of the angles of the triangle will be the obtuse angle it will be known as an obtuse triangle and in very simple terms it means that it should be greater than 90°
• Based on sides and angles the categories of triangles have been perfectly explained as follows:
1. When all sides and angles of the triangle are equal it will be known as an equilateral or the equiangular triangle
2. The triangle in which two sides are equal and one angle is 90° will be known as Isosceles right triangle
3. The triangle in which two sides are equal and one angle is obtuse will be known as the obtuse Isosceles triangle
4. The triangle in which all three angles are acute and two sides are measuring the same will be known as the acute Isosceles triangle
5. The triangle in which any one of the angles is a right angle then all three sides are equal will be known as the right scalene triangle
6. The triangle in which obtuse angle with sides of different measures will be known as obtuse scalene triangle
7. The triangle that has three and equal sides and all three angles are acute will be known as the acute scalene triangle

It is also very much important for kids to be clear about remembering some of the basic points at the time of studying this particular chapter in those points are:

1. In the cases of the equilateral triangle, every measure of internal angle will be 60°
2. The three angles of the triangle will be supplementary and will always add up to 180°
3. All triangles will be having two acute angles
4. When all sides and angles of the triangle will be equal it will be known as an equiangular or equilateral triangle.

Some of the basic properties of the triangles have been explained as follows:

1. The angle sum property of the triangle will be stating that the sum of three interior angles of the triangle will be 180°
2. Triangle inequality property will be stating that the sum of the length of two sides of the triangle will always be greater than the third side
3. As per the Pythagoras theorem hypotenuse square will always be equal to the base Square plus altitude Square
4. The side opposite the greater angle will be the longest in the case of triangle
5. The exterior angle property of the triangle will be stating that the exterior angle of the triangle will always be equal to the sum of the interior opposite angles

Hence, being clear about all the above-mentioned points is very much important so that there is no chance of any kind of mistake and further, depending upon platforms like Cuemath is the best decision which people can make in their life to have a good command over the Pythagoras theorem and subject of triangles very easily.