The story of Triangle.

Among these endless shapes from geometry, the Triangle △ inherits a special place in the list. In this post, we will discuss about what is the triangle , how it is used in Mathematics and how it is used  in real world applications and much more. Hope this will help you, specially if you are a Math enthusiast...

 

What is a Triangle △ ?

Triangle is a,

• Two-dimensional shape 
• With three sides 
• With 3 interior angles

 That means , Triangle is the smallest polygon (polygon is a shape that is made by straight lines).

Why triangles so special?

• Triangle is the strongest Shape,

Because of its fixed angles, it does not support to rotational forces, making it unbreakable. And also, triangles can distribute force equally and resist on deformation. Because of this triangles have been used in construction and engineering field.

• Triangle is the fundamental building block,

You can divide any polygon into triangles, making easy to analyze certain complex polygons. Most of the time, triangles are used in computer graphics to generate surfaces.

• Contribution to Mathematics,

Specially right-angled triangles are studied extensively in Mathematics. Some of the outcomes of admiring triangles is trigonometry functions and the ease of geometrical analysis.

Types of Triangles,

Classified by angles,

1. Acute Triangle    =    Triangles that all the interior angles are below 90 degrees.
2. Obtuse Triangle  =   Triangles that one interior angle is above 90 degrees.
3. Right Triangle    =    Triangles with one exact 90 degrees interior angle.

Classified by Sides,

1. Equilateral Triangles = Triangles that all three sides are equal in length and all the interior angles are 60 degrees.
2. Isosceles Triangles = Two sides are equal in length and the angles opposite to them are also equal.
3. Scalene Triangles =  All three sides and angles have different sizes. Nothing is equal.

💡Fun Fact  -: Always sum of any two sides should be greater than the other side. This gives the stability to the triangle.

How Triangles are used in Real world scenarios,

Triangles are used in various types of real world applications because of their versatility and stability.

•  Engineering and Construction  
• Triangles are used to create the structures of bridges, roof and buildings.
• Computer Graphics
• To create complex graphics, triangles are used.
• Design and Art
• Triangles are used to design different patterns and illustrations.
• Surveying
• To calculate heights and distances mostly in inaccessible areas.

 

💡Fun Fact  -: Triangular shapes are used as the symbol of power and stability, Just look at the pyramids in Egypt!

Simple Math theories with Triangles,

>> Area formulas  -:  

        A = 1/2 * Base * Height

        Heron's law ( if all the sides are known)

>> Pythagoras Theory (for right-angle triangles)

        a² + b² = c²

>>> Final Word

From this post, you learnt about triangles and their fundamental qualities that made them unique and useful. So try to make a design from triangles and explore the world with Mathematics. Enjoy the world with Mathematics, as Math is the language to learn about the world...

Images are created using Microsoft Copilot.

                                                                                                                                                                                            

✍️Written by Chaniru.