Table of contents  
Types of Triangles  
Area of Triangle  
Congruent Triangles  
Important Formulas 
A Triangle is a threesided polygon that consists of three edges and three vertices. The most important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.
Any polygon which has three sides and three vertices is known as Triangle
1. There are three types of Triangles on the basis of the length of the sides.
2. There are three types of Triangles on the basis of angles.
Note:
The area of a triangle A is half the product of its base b and its height ℎ
The height of a triangle is also known as the altitude. This formula works only if the base is perpendicular to the height. That means the base and the height form a right angle.
When two triangles are congruent, it means they look exactly the same. All their sides have the same lengths, and all their angles are the same size. You can move, turn, or flip them, and they will still match up perfectly. There are four ways to check if triangles are congruent. Even if you only know some of their measurements, you can still tell if they're the same.
Two triangles are said to be congruent if they are of the same shape and size whereas two triangles are said to be similar if they are of the same shape but can be of different sizes.
Frequently Asked Questions
Q1: How many different kinds of triangles exist in Mathematics?
Ans: There are six main types of triangles. They are:
(i) Scalene Triangles
(ii) Isosceles Triangles
(iii) Equilateral Triangles
(iv) Acute Triangles
(v) Obtuse Triangles
(vi) Right Triangles
Q2: What is the formula for area and perimeter of a triangle?
Ans: The perimeter of triangle = Sum of all three sides
Area = ½ (Product of base and height of a triangle)
116 videos420 docs77 tests

1. What are the three types of triangles based on their sides? 
2. How many types of triangles are based on their angles? 
3. What is the sum of the angles in a triangle? 
4. What is the Pythagorean theorem? 
5. How can we determine if two triangles are similar? 

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