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Drew
Lv 5
Drew asked in Science & MathematicsMathematics · 8 years ago

Finding x from two diagrams?

I've got two diagrams, both made up of two isosceles triangles that touch, with an intersecting line. I have the measurements for their bases, and I know that one of the triangles is the same height in both diagrams (I don't know that value, but it must be equal). I also know that the height of the second triangle in the first diagram is equal to the height of the second triangle in the second diagram, minus a fixed value (that is known, 8,225,000). I need to find the height of the second triangle in the first diagram (x) using the information, but I just cannot work out the equation I need to do this. I've uploaded both diagrams, and a list of all of the values and variables, available here: http://minds-i.co.uk/server/findingX.png

I would really appreciate it if you would be able to shed any light on the solution, or any method you may be able to think of for finding it. Thanks in advance!

Update:

euclid: Is that you can't see the image, or that the diagrams are useless? The image appears fine to me on my system, but try http://minds-i.co.uk/server/findingX.zip if you can't see the original.

Update 3:

Or, for a higher quality one: http://minds-i.co.uk/findX.html

Update 4:

Never fear, the issue is solved! x = 17,991,000 (I don't think the solution can be found with the data I have in the diagram, but as it's to do with lenses, I asked a filmmaker).

2 Answers

Relevance
  • 8 years ago
    Favorite Answer

    Your link is worthless...

    try again.

    [hotlinking is not supported !']

  • Colin
    Lv 7
    8 years ago

    Sorry, Euclid is right.

    And I'm afraid that your second link gives the same result as the first.

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