Table of Contents
Triangle Definition
A triangle is a three-sided polygon. It has three angles and three sides. The angles are always less than 180 degrees. The side opposite the largest angle is the longest side and is called the hypotenuse. The other two sides are called the legs.
A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees. It means that the sum of the interior angles of a triangle is equal to 180°. It is a polygon having the least number of sides. In other words, a triangle is defined as a three-sided two-dimensional figure whose interior angles are equal to 180°.
Types of Triangle
Based on the angles and side length, the triangles are majorly classified into six types. Let us discuss in detail about the six types of triangles Based on the length of the sides, the triangle is classified into:
- Scalene Triangle – All the sides of a triangle having different side measurement
- Isosceles Triangle – Two sides of a triangle are of the same measure
- Equilateral Triangle – All the three sides of a triangle having equal side measurements
Based on the angles, the triangles are further classified as:
- Acute Angle Triangle – All the angles of a triangle are less than 90 degrees
- Obtuse Angle Triangle – One of the angles of a triangle is greater than 90 degrees
- Right Angle Triangle – One of the angles of a triangle is equal to 90 degrees
Triangle Formula
If “b” be the base and “h” be the height of a triangle, then the formula to find the area of a triangle is given by
Area of triangle, A = (½) bh square units
If “a”, “b”, “c” are the sides of a triangle, the perimeter of a triangle is given as
Perimeter of a triangle, p = a + b + c units
Triangle Properties
The important properties of the triangle are
- The sum of the interior angles of a triangle is 180 degrees
- When two sides of a triangle are added, it is always greater than the third side
- Similarly, if the two sides of a triangle are subtracted, it is always less than the third side
- Two triangles are said to be similar if the corresponding angles are congruent and the corresponding side lengths are proportional.
Triangle Formula
A triangle is a three-sided figure. The three sides are called the base, the height, and the hypotenuse. The length of the hypotenuse is always the longest side. The Pythagorean theorem states that the sum of the squares of the two shorter sides is equal to the square of the length of the hypotenuse. This theorem can be used to find the length of the hypotenuse of a triangle.
The triangle formula states that the length of the hypotenuse is equal to the square root of the sum of the squares of the other two sides. This formula can be used to find the length of the hypotenuse of a triangle if the lengths of the other two sides are known.
Tips To Master Triangles
1. Practice drawing triangles. This will help you to better understand the basic principles of triangle construction.
2. Make sure you understand the different types of triangles. There are three types of triangles: equilateral, isosceles, and scalene. Each type has its own unique set of properties.
3. Practice constructing triangles. This will help you to better understand how to create triangles using basic geometric principles.
4. Understand the different properties of triangles. Each type of triangle has its own unique set of properties. Be sure to understand these properties before attempting to use triangles in your designs.
5. Use triangles in your designs. Triangles can be used in a variety of different ways in design. Experiment with different ways to use triangles and see what works best for you.
