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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

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