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Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

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Don't just just the formula; learn how the formula came to be! What better way to do that than by watching an animation that helps you visualize where the algebraic formula for finding the area of a trapezoid comes from?

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Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

  1. 1. Visualizing the Area of a Trapezoid Formula @MathletePearce tapintoteenminds.com
  2. 2. Visualizing the Area of a Trapezoid Formula @MathletePearce tapintoteenminds.com
  3. 3. Triangle A Triangle B @MathletePearce tapintoteenminds.com
  4. 4. Area of Triangle A Area of Triangle B A = bh A = bh 2 2 @MathletePearce tapintoteenminds.com
  5. 5. Area of Triangle A Area of Triangle B bh A = A = bh 2 2 base height height base @MathletePearce tapintoteenminds.com
  6. 6. Area of Triangle A Area of Triangle B A = A = bh 2 bh 2 base base height height @MathletePearce tapintoteenminds.com
  7. 7. Area of Triangle A Area of Triangle B A = A = bh 2 bh 2 base base height height @MathletePearce tapintoteenminds.com
  8. 8. Area of Triangle A Area of Triangle B A = A = bh 2 bh 2 base base height height @MathletePearce tapintoteenminds.com
  9. 9. Area of Triangle A Area of Triangle B A = A = bh 2 h a 2 base base height height a @MathletePearce tapintoteenminds.com
  10. 10. Area of Triangle A Area of Triangle B A = A = b bh 2 h a 2 base base height height a b @MathletePearce tapintoteenminds.com
  11. 11. Area of Triangle A Area of Triangle B A = A = b bh 2 h a 2 base base height height a b @MathletePearce tapintoteenminds.com
  12. 12. Area of a Trapezoid Formula A = h ah b 2 2 + @MathletePearce tapintoteenminds.com
  13. 13. Area of a Trapezoid Formula A = h b 2 h a 2 h a b + @MathletePearce tapintoteenminds.com
  14. 14. Area of a Trapezoid Formula A = h b 2 h a 2 h a b + @MathletePearce tapintoteenminds.com
  15. 15. Area of a Trapezoid Formula A = h b 2 h a 2 h a b + @MathletePearce tapintoteenminds.com
  16. 16. Area of a Trapezoid Formula A = h b 2 h a 2 h a b + @MathletePearce tapintoteenminds.com
  17. 17. Area of a Trapezoid Formula A = h b 2 h a ah 2 h a b + @MathletePearce tapintoteenminds.com
  18. 18. Area of a Trapezoid Formula A = h b 2 h a 2 h a b + ah 2 @MathletePearce tapintoteenminds.com
  19. 19. Area of a Trapezoid Formula A = h b 2 h a 2 h a b + ah 2 @MathletePearce tapintoteenminds.com
  20. 20. Area of a Trapezoid Formula A = h b 2 h a 2 h a b + ah 2 @MathletePearce tapintoteenminds.com
  21. 21. Area of a Trapezoid Formula A = h b bh 2 h a 2 h a b + ah 2 @MathletePearce tapintoteenminds.com
  22. 22. Area of a Trapezoid Formula A = h b 2 h a 2 h a b + ah 2 bh 2 @MathletePearce tapintoteenminds.com
  23. 23. Area of a Trapezoid Formula A = h b 2 h a 2 h a b + ah 2 bh 2 @MathletePearce tapintoteenminds.com
  24. 24. Area of a Trapezoid Formula A = h ah b 2 2 + ah 2 bh 2 @MathletePearce tapintoteenminds.com
  25. 25. Area of a Trapezoid Formula A = h ah b 2 2 + ah 2 bh 2 @MathletePearce tapintoteenminds.com
  26. 26. Area of a Trapezoid Formula A = h ah b 2 2 + bh 2 ah 2 @MathletePearce tapintoteenminds.com
  27. 27. Area of a Trapezoid Formula A = h ah b 2 2 + @MathletePearce tapintoteenminds.com
  28. 28. Area of a Trapezoid Formula A = h ah b 2 2 + @MathletePearce tapintoteenminds.com
  29. 29. Area of a Trapezoid Formula A = h ah b 2 2 + @MathletePearce tapintoteenminds.com
  30. 30. Area of a Trapezoid Formula A = h ah b 2 2 + @MathletePearce tapintoteenminds.com
  31. 31. Area of a Trapezoid Formula A = h ah b 2 2 + @MathletePearce tapintoteenminds.com
  32. 32. Area of a Trapezoid Formula A = h ah b 2 2 + @MathletePearce tapintoteenminds.com
  33. 33. Area of a Trapezoid Formula A = h ah b 2 2 + @MathletePearce tapintoteenminds.com
  34. 34. Area of a Trapezoid Formula h a b h ah + b A = 2 2 @MathletePearce tapintoteenminds.com
  35. 35. Area of a Trapezoid Formula h a b h ah + b A = 2 2 @MathletePearce tapintoteenminds.com
  36. 36. Area of a Trapezoid Formula h a b A = h ah + b 2 @MathletePearce tapintoteenminds.com
  37. 37. Area of a Trapezoid Formula h a b ah + bh A = 2 @MathletePearce tapintoteenminds.com
  38. 38. A = Area of a Trapezoid Formula ah + bh 2 h a b @MathletePearce tapintoteenminds.com
  39. 39. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com h a b
  40. 40. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com h a b
  41. 41. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com h a b
  42. 42. A = Area of a Trapezoid Formula ah + bh 2 h a b @MathletePearce tapintoteenminds.com
  43. 43. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com h a b
  44. 44. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com h a b
  45. 45. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com h a b
  46. 46. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com
  47. 47. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com
  48. 48. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com
  49. 49. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com
  50. 50. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com
  51. 51. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com
  52. 52. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com
  53. 53. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com
  54. 54. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com
  55. 55. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com
  56. 56. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com
  57. 57. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com
  58. 58. A = Area of a Trapezoid Formula h ( a + b ) 2 @MathletePearce tapintoteenminds.com
  59. 59. A = Area of a Trapezoid Formula h ( a + b ) 2 h a b @MathletePearce tapintoteenminds.com
  60. 60. A = Area of a Trapezoid Formula h ( a + b ) 2 @MathletePearce tapintoteenminds.com h a b
  61. 61. A = Area of a Trapezoid Formula h ( a + b ) 2 @MathletePearce tapintoteenminds.com h a b
  62. 62. A = Area of a Trapezoid Formula h ( a + b ) 2 @MathletePearce tapintoteenminds.com
  63. 63. A = Area of a Trapezoid Formula h ( a + b ) 2 @MathletePearce tapintoteenminds.com
  64. 64. A = Area of a Trapezoid Formula h ( a + b ) 2 @MathletePearce tapintoteenminds.com
  65. 65. A = Area of a Trapezoid Formula h ( a + b ) 2 @MathletePearce tapintoteenminds.com
  66. 66. A = Area of a Trapezoid Formula h ( a + b ) 2 @MathletePearce tapintoteenminds.com
  67. 67. A = Area of a Trapezoid Formula h ( a + b ) 2 @MathletePearce tapintoteenminds.com
  68. 68. A = Area of a Trapezoid Formula h ( a + b ) 2 @MathletePearce tapintoteenminds.com
  69. 69. A = Area of a Trapezoid Formula h ( a + b ) 2 @MathletePearce tapintoteenminds.com
  70. 70. Area of a Trapezoid Formula A = h a b ( + ) 2 @MathletePearce tapintoteenminds.com
  71. 71. Area of a Trapezoid Formula ah + bh ah + b h A = 2 A = 2 A = h a b ( + ) 2 2 @MathletePearce tapintoteenminds.com
  72. 72. Area of a Trapezoid Formula ah + bh ah + b h A = 2 A = 2 A = h a b ( + ) 2 2 @MathletePearce tapintoteenminds.com

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