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Triangle Area

  1. Feb 6, 2009 #1
    1. The problem statement, all variables and given/known data
    http://g.imagehost.org/view/0549/scan0001 [Broken]

    Click the picture to get a larger, readable image.


    I don't know where to start.
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Feb 6, 2009 #2

    Astronuc

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    Staff: Mentor

    What is the formula for the area of a triangle, if one is given base and height?

    Has one done the cross product of two vectors?
     
  4. Feb 6, 2009 #3
    (1/2)b*h

    I haven't done the cross-product but it's preparation for the ACT, so there must be another way to do it.
     
  5. Feb 6, 2009 #4

    Astronuc

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    Staff: Mentor

    Nevermind the cross-product. I was thinking that you had to find the area of the triangle. In future, please write out the problem statment in the post, rather than leaving it as a image.

    Anyway, so we have A = 1/2 bh, as the area. Now if we take the line segment AB as the base, b, which is fixed, then what does h represent with respect to point C? And if the area, A, and base, b, remain constant, what does that imply about point C with respect to line segment AB?
     
  6. Feb 6, 2009 #5

    HallsofIvy

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    Take AB as the base. As C moves, A and B stay fixed so b stays constant. In order that the area be constant, h must also be constant. That means C must move along a line parallel to AB.
     
  7. Feb 6, 2009 #6
    Alright, I get it now. Thank you both for the help.

    Astronuc, sorry about that. I'll write out the question next time.
     
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