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  • 3 years ago

Show that the line that joins one vertex of a parallelogram to the mid-point of an opposite side trisects the diagonal.

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  1. IsTim
    • 3 years ago
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    Sorry. What's "Trisects", "Diagonal" and "Mid-point" in this situation? Definitions are always different for different questions.

  2. twitter
    • 3 years ago
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    Trisects - divided equally in 3 parts. Diagonal - from one corner to the opposite. Mid point - midway. Fairly basic.

  3. IsTim
    • 3 years ago
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    Do you need to use formulas? Because I think a diagram on graph/grid paper would work fine.

  4. twitter
    • 3 years ago
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    Formula? I'm not sure. All vectors laws are straight forward in my opinion.

  5. IsraelYkb
    • 3 years ago
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    hmm..I am lost here how can a line trisect another line?

  6. IsTim
    • 3 years ago
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    Maybe its trisecting the parallelogram itself? Not sure. What course is this? Vectors?

  7. twitter
    • 3 years ago
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    Let me show you the solution. This is how they draw it. Page 1: https://dl.dropbox.com/u/63664351/Mathematics%20at%20A-level/20130105_151348.jpg Page 2: https://dl.dropbox.com/u/63664351/Mathematics%20at%20A-level/20130105_151457.jpg I don't understand why AM=FM=1

  8. binarymimic
    • 3 years ago
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  9. IsTim
    • 3 years ago
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    @IsraelYkb Oh there are 2 lines...

  10. binarymimic
    • 3 years ago
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    if you can see why those two triangles are similar then the rest is a matter of ratios

  11. twitter
    • 3 years ago
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    Let me show you the solution. This is how they draw it. Page 1: https://dl.dropbox.com/u/63664351/Mathematics%20at%20A-level/20130105_151348.jpg Page 2: https://dl.dropbox.com/u/63664351/Mathematics%20at%20A-level/20130105_151457.jpg I don't understand why AM=FM=1

  12. IsraelYkb
    • 3 years ago
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    Thanks guys now I get it.

  13. binarymimic
    • 3 years ago
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    corresponding*

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