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Tomas.A

  • 2 years ago

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

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

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

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

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

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

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

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

  9. Tomas.A
    • 2 years ago
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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

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

  11. Mertsj
    • 2 years ago
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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

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

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

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

  15. Mertsj
    • 2 years ago
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    yw

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

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

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