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Tomas.A Group Title

Triangle, AC=20, AD=18, CE=24, AE=EB, BD=DC picture below. Find area of triangle.

  • 2 years ago
  • 2 years ago

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  1. Tomas.A Group Title
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    • 2 years ago
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  2. King Group Title
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    25sqrt3?

    • 2 years ago
  3. Tomas.A Group Title
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    i don't know

    • 2 years ago
  4. Mertsj Group Title
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    |dw:1327412914643:dw|

    • 2 years ago
  5. radar Group Title
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    Is this a right triangle (<ACB =90 degrees?)

    • 2 years ago
  6. Tomas.A Group Title
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    i don't know, it may be, just prove it :D

    • 2 years ago
  7. radar Group Title
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    EC=24 (given) Where does the "8" fit in??

    • 2 years ago
  8. radar Group Title
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    @Mersj, does the 8 in your drawing apply to EC?

    • 2 years ago
  9. Tomas.A Group Title
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    i don't know how to explain in english but he's right :D but i don't know where he got 96

    • 2 years ago
  10. Tomas.A Group Title
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    EF=8 not EC

    • 2 years ago
  11. Mertsj Group Title
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    A median divides a triangle into 2 triangles of equal area. A second median divides the triangles form by the first median into triangles whose areas are in the ratio 2:1. We can find the area of triangle ACF using Heron's formula. It is 96. So triangle CFD is 48. Together they make triangle ACD which is half the area of the entire triangle. 48+96=144 and 144 times 2 = 288 and that is the area of triangle ABC

    • 2 years ago
  12. Mertsj Group Title
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    No. The 8 is EF

    • 2 years ago
  13. Mertsj Group Title
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    Remember the intersection of medians divides the medians into 1/3 2/3 segments

    • 2 years ago
  14. radar Group Title
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    Very good Mertsj, thanks for the explanation.

    • 2 years ago
  15. Mertsj Group Title
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    yw

    • 2 years ago
  16. Tomas.A Group Title
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    ok i knew that each median divides by 1:2 but never knew that it also divides area

    • 2 years ago
  17. Mertsj Group Title
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    Yes. And if you drew the third median, you would have 6 triangles of equal area.

    • 2 years ago
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