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triangles

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triangles

1. 1. Triangles And its properties
2. 2. 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
3. 3. The Six elements of a triangle are- <ul><li>1.Side AB </li></ul><ul><li>2. Side BC </li></ul><ul><li>3. Side AC </li></ul><ul><li>4.Angle ABC </li></ul><ul><li>5.Angle ACB </li></ul><ul><li>6. Angle BAC </li></ul>A B C
4. 4. Interior & Exterior of a triangle A B C P Q m
5. 5. Various types of triangles <ul><li>Equilateral triangle </li></ul>6 cm 6 cm 6 cm
6. 6. Isosceles triangle 6 cm 6 cm 4 cm
7. 7. Scalene triangle 5 cm 13 cm 6 cm
8. 8. Acute triangle 40 60 80
9. 9. Right triangle 90
10. 10. Obtuse Triangle 120
11. 11. Perimeter of a Triangle 5cm 5cm 4cm Perimeter=5cm+5cm+4cm=14cm
12. 12. Properties of Triangles
13. 13. Angle sum property of a Triangle <ul><li>The sum of the angles of a triangle is 180˚. </li></ul>A B C B C A
14. 14. Angle sum property of a Triangle 1 2 3 4 5 Angle 4 + Angle 3 + Angle 5=180º Angle 1 + Angle 3 + Angle 2=180º
15. 15. Find the missing angle Find the angle x 55 50 x
16. 16. Triangle Inequality Property <ul><li>The sum of any two sides of a triangle is greater than the third side. </li></ul>A B C AB+BC >AC AB+AC>BC AC+BC>AB
17. 17. Triangle Inequality Property A B C AB+BC >AC
18. 18. Triangle Inequality Property A B C AB+AC>BC
19. 19. Triangle Inequality Property A B C AC+BC>AB
20. 20. Brain teasers <ul><li>Can you construct a triangle with these angles </li></ul><ul><li>45, 55 and 90 </li></ul><ul><li>Why or Why not ? </li></ul>
21. 21. Can you construct a triangle with given sides 3cm , 4cm and 7 cm.Why or why not ?
22. 22. Presentation made by NIHARIKA GOSWAMI