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anonymous

  • one year ago

Point A (-4, 2) and Point B (2, 4) lie in the xy-coordinate plane. If point C lies in the first quadrant and contains the coordinates (p, q), where p < 2 and q < 4, which of the following could be the area of triangle ABC? (Can be more than one) a. 1.1 b. 3.9 c. 11.9

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  1. triciaal
    • one year ago
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    |dw:1440533539013:dw|

  2. phi
    • one year ago
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    A is at (-4,2) QII

  3. triciaal
    • one year ago
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    Area of a triangle is half base times perpendicular height

  4. triciaal
    • one year ago
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    sorry @ phi thanks

  5. triciaal
    • one year ago
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    |dw:1440533830048:dw|

  6. anonymous
    • one year ago
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    sorry bit confused

  7. phi
    • one year ago
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    I changed my mine. we can get a size of 12 so all 3 points ?

  8. triciaal
    • one year ago
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    |dw:1440533941559:dw|

  9. anonymous
    • one year ago
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    so the hypotenuse would be 36 right?

  10. anonymous
    • one year ago
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    oh wait nvm

  11. phi
    • one year ago
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    |dw:1440534102758:dw|

  12. anonymous
    • one year ago
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    how do we find c?

  13. anonymous
    • one year ago
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    point c*

  14. phi
    • one year ago
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    it seems to me if we move the third point closer to the line AB, we can make a triangle with as small an area as we want.

  15. phi
    • one year ago
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    we can make a triangle with area 12 (see above) and we can move the point c a little closer , so that the area is 11.9 (off-hand, we don't know where, but we know it's possible) ditto for the other two choices.

  16. anonymous
    • one year ago
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    where did you get 6/2 from?

  17. anonymous
    • one year ago
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    hmmm nvm i think i got it

  18. phi
    • one year ago
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    1/2 * base* height= area of triangle

  19. anonymous
    • one year ago
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    |dw:1440534753143:dw|

  20. anonymous
    • one year ago
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    does this work?

  21. anonymous
    • one year ago
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    @phi @triciaal

  22. triciaal
    • one year ago
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    c 11.9 yes

  23. triciaal
    • one year ago
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    |dw:1440536164771:dw|

  24. triciaal
    • one year ago
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    |dw:1440537086432:dw|

  25. triciaal
    • one year ago
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    for some reason I think we should have 2 correct answers

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