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Triangle

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Triangle

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  1. Triangle

  2. Ratio of the area of triangles Theorem 1

  3. Example In the figure, BC// DE, AC= 3 cm and CE= 4 cm. Find

  4. Class work In the figure, PSQ, QXR and RYP are straight lines. If the area of is , find the area of the parallelogram SXRY.

  5. Identify the similar triangles first. 81

  6. 81 36 Area of parallelogram = 225 – 81 - 36 = 108 Area of parallelogram is

  7. Triangle

  8. Triangle C height A B base

  9. Triangle

  10. Triangle base height

  11. Triangle

  12. Triangle base height

  13. Area of Triangle C height A B base

  14. What is the relationship between the heights of and ?

  15. Triangles have common height h

  16. For triangles with common height, find

  17. For triangles with commonheight, Theorem 2

  18. Eg.3) Given that BC : DC = 5: 1 Find

  19. Eg.3) Given that BC : DC = 5: 1 Find and have common height,

  20. Eg.3) Given that BC : DC = 5: 1 Find and have common height, = 4

  21. Eg.4) Given that AD = 3 cm and CD = 1 cm. Find

  22. Eg.4) Given that AD = 3 cm and CD = 1 cm. Find and have common height,

  23. Class work 5.) In the figure, find the area of : area of .

  24. Class work 5.) In the figure, find the area of : area of .

  25. Class work 5.) In the figure, find the area of : area of . = 1

  26. 6.) In the figure, given that QX:XR = 5:6 and PY:YR =5:3 calculate the area of (a) (b)

  27. 6.) In the figure, given that QX:XR = 5:6 and PY:YR =5:3 5x 6x

  28. 6.) In the figure, given that QX:XR = 5:6 and PY:YR =5:3 5x 6x

  29. 6.) In the figure, given that QX:XR = 5:6 and PY:YR =5:3 5y 3y 5x 6x

  30. 6.) In the figure, given that QX:XR = 5:6 and PY:YR =5:3 5y 3y 5x 6x

  31. 7) In the figure, PQRS is a rectangle. M is a midpoint of QR. PR and MS intersects at N. Find the area of : area of PQMN.

  32. In the figure, PQRS is a rectangle. M is a midpoint of QR. PR and MS intersects at N. Find the area of : area of PQMN.

  33. In the figure, PQRS is a rectangle. M is a midpoint of QR. PR and MS intersects at N. Find the area of : area of PQMN.

  34. Find the area of : area of PQMN. 4A A = 4

  35. Find the area of : area of PQMN. 4A 2y 2A y A Considering They have the common height.

  36. Find the area of : area of PQMN. 4A 2y 2A y A Hence, = 2A : 5A = 2 : 5

  37. 8.) In the figure, PX:XQ = 1: 2, PY:YR = 3:2. Area of : Area of = ?

  38. In the figure, PX:XQ = 1: 2, PY:YR = 3:2. Area of : Area of = ? and have the common height

  39. In the figure, PX:XQ = 1: 2, PY:YR = 3:2. Area of : Area of = ? and have the common height

  40. In the figure, PX:XQ = 1: 2, PY:YR = 3:2. Area of : Area of = ? and have the common height = 2A : 5A = 2 : 5

  41. 9.) In the figure, PQRS is a rectangle. RSX is a straight line and PX// QS. If the area of PQRS is 24 and Y is a point on QR such that QY :YR = 3:1, find the area of .

  42. 10.) In the figure, if , Find

  43. 10.) In the figure, if , A 3A

  44. 10.) In the figure, if , A x 3A 3x

  45. 10.) In the figure, if , A x 3A 3x 9A

  46. 10.) In the figure, if , A x 3A 3A 3x 9A

  47. 10.) In the figure, if , A x 3A 3A 3x 9A

  48. Ratio of the area of similar triangles Theorem 1

  49. For triangles with commonheight, Theorem 2