Triangles are three-sided polygons that come in three types based on their side lengths: equilateral triangles have all three sides the same length, isosceles triangles have two sides the same length, and scalene triangles have all three sides of different lengths. The area of any triangle can be calculated using Hero's Formula, which uses the triangle's side lengths and semi-perimeter. While Pascal's Triangle is named after Blaise Pascal, he did not invent the triangle - other mathematicians studied and used triangular patterns before him.

1. TRIANGLES

2. CONTENTS
• TRIANGLES
1. DEFINITION
2. TYPES
3. Area
4. Who invented triangle

3. TRIANGLES
A triangle is a 3-sided polygon. Every triangle has three
sides, three vertices and three angles. On the basis of sides
of a triangle, triangles are of three types, An Equilateral
Triangle, An Isosceles Triangle and A Scalene Triangle. All
triangles are convex and bicentric. That portion of the plane
enclosed by the triangle is called the triangle interior, while
the remainder is the exterior.
The study of triangles is sometimes known as triangle
geometry and is a rich area of geometry filled with
beautiful results and unexpected connections.

4. TYPES
OF
TRIANGLES

5. TYPES OF TRIANGLES
On Basis of Length of Sides, there are 3 types of Triangles
• Equilateral Triangle
• Isosceles Triangle
• Scalene Triangle

6. EQUILATERAL TRIANGLE
Triangles having all sides equal are called Equilateral
Triangle.
ISOSCELES TRIANGLE
Triangles having 2 sides equal are called Isosceles
Triangle.

7. SCALENE TRIANGLE
Triangles having no sides equal are called Scalene
Triangle.

8. AREA
OF A
TRIANGLE

9. HERO’S FORMULA
Hero’s Formula can be used in finding area of
all types of Triangles. The Formula is ::->
AREA =
S = Semi-Perimeter
a,b,c are sides of the Triangle

10. Who invented triangle?
Blaise Pascal
Although Pascal's Triangle is named after
seventeenth century mathematician, Blaise
Pascal, several other mathematicians knew
about and applied their knowledge of the
triangle hundreds of years before the birth
of Pascal in 1623.

11. MATHEMATICIANS RELATED TO TRIANGLES
PYTHAGORAS EUCLID PASCAL

12. THANKS