Triangles

1. A Project
on
Triangle and its Properties
Submitted to
FLORENCE PUBLIC SCHOOL

2. Submitted By
• Class X Student of
Florence Public High School, Hoodi,
Mahadevapura Post, Bangalore.
Under the guidance of Maths Master
Farooq Abdul Sir.

3. TrianglesTriangles

4. If A,B,C are three non Collinear
points ,the figure made up by three line
segments AB,BC and CA is called a
triangle
A
B C

5. The Six elements of a
triangle are-
1.Side AB
2. Side BC
3. Side AC
4.Angle ABC
5.Angle ACB
6. Angle BAC
A
B C

6. Various types of
triangles
• Equilateral triangle
5 cm
5 cm
5 cm

7. Isosceles triangle
5
cm
5 cm
3 cm

8. Scalene triangle
5
cm
10
cm
6 cm

9. Acute triangle
40
60 80

10. Right triangle
90

11. Obtuse Triangle
120

12. Perimeter of a Triangle
5cm 5cm
4cm
Perimeter=5cm+5cm+4cm=14cm

13. PropertiesProperties
ofof
TrianglesTriangles

14. Angle sum property of a Triangle
• The sum of the angles of a triangle is
180˚.
A
B C
BC
A

15. Angle sum property of a
Triangle
1
2
34
5
Angle 4 + Angle 3 + Angle 5=180º
Angle 1 + Angle 3 + Angle 2=180º

16. Exterior & Interior
Opposite Angles
A
B
C
D

17. Exterior angle property
of a Triangle
A
B
DC
Angle A + Angle B = Angle BCD

18. Exterior angle property of
a Triangle
A
B
DC
Angle A + Angle B + Angle BCA=180º
Angle BCA + Angle BCD=180º
Angle A + Angle B +Angle BCA= Angle BCA+ Angle BCD

19. Triangle Inequality
Property
• The sum of any two sides of a
triangle is greater than the third
side. A
B
C
AB+BC >AC
AB+AC>BC
AC+BC>AB

20. Triangle Inequality
Property
A
B C
AB+BC >AC

21. Triangle Inequality
Property
A
B C
AB+AC>BC

22. Triangle Inequality
Property
A
B C
AC+BC>AB

23. Pythagoras Theorem
• In a right triangle, the square of the
longest side is equal to the sum of
squares of remaining two sides.
A
B C
( AC)
2
= (AB)
2
+ (BC)
2
Hypotenuse
2
= Perpendicular
2
+ Base
2
Base
Perpendicular Hypotenuse

24. Queries
• What is Triangle?
• What are collinear points?
• What are the types of triangle?
• What is Pythagoras Theorem?
• What is the angle sum property of
triangle?

25. Bibliography & References
• Bibliography contains references to all
the articles & pictures related to the
project. It includes the documentation
& Project Plan.
• Standards
• Mathematics Books of Class 10th
• Internet
• Articles from Encarta Encyclopedia
• Newspapers, Charts , Models&
Magazines

26. Acknowledgement
• We express our gratitude to school Math’s
Master Farooq Abdul Sir for providing
guideline and help.
• This project has not been possible without
the help of my teacher and friends and their
support and encouragement. We worked hard
in obtaining the facts and finding related to
project which made my project more
interesting.

27. Thanks
• Thanks for being patient.