1. Standard memberroyalchicken
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    13 Apr '03 19:21
    A treasure is buried in a square field such that it is 2 miles from one corner, 3 from the next, and four from the next corner. What is the area of the field?
  2. Steelers Country
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    13 Apr '03 21:452 edits
    Originally posted by royalchicken
    A treasure is buried in a square field such that it is 2 miles from one corner, 3 from the next, and four from the next corner. What is the area of the field?
    6 miles by 6 miles?
  3. Standard memberroyalchicken
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    13 Apr '03 21:471 edit
    Originally posted by UncleAdam
    6 miles by 6 miles?
    No....not 6x6...how did you solve it...possibly you have just made a small error.
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    13 Apr '03 22:39
    Originally posted by royalchicken
    No....not 6x6...how did you solve it...possibly you have just made a small error.
    it looks something like this right?

    - - 3 - - -
    - - - - - -
    - - - - - -
    - - - - - -
    2 - T - - 4
    - - - - - -

    with the T for the
    treasure and the - for a mile and a # for where the # would come from to get there
  5. Standard memberroyalchicken
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    13 Apr '03 22:43
    Originally posted by UncleAdam
    it looks something like this right?

    - - 3 - - -
    - - - - - -
    - - - - - -
    - - - - - -
    2 - T - - 4
    - - - - - -

    with the T for the
    treasure and the - for a mile and a # for where the # would come from to get there
    Distances from corners. Measured on diagonals. 4 > 3.
  6. Steelers Country
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    13 Apr '03 22:56
    Originally posted by royalchicken
    Distances from corners. Measured on diagonals. 4 > 3.
    Oh, I mised that part, this is hard
  7. Donationbbarr
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    14 Apr '03 00:00
    18 sq. miles
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    14 Apr '03 14:02
    25
  9. Standard memberroyalchicken
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    14 Apr '03 18:32
    Originally posted by bbarr
    18 sq. miles
    Very good, bbarr. 10+3*sqrt(7) =~ 17.9
  10. Standard memberPhlabibit
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    14 Apr '03 18:56
    Originally posted by royalchicken
    Very good, bbarr. 10+3*sqrt(7) =~ 17.9
    2 tangent circles of 2 miles and 4 miles intersect about 3.162 miles from either remaining corners. Area of said square is 17.9999. Math never works! 😛
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    15 Apr '03 12:35
    Originally posted by Phlabibit
    2 tangent circles of 2 miles and 4 miles intersect about 3.162 miles from either remaining corners. Area of said square is 17.9999. Math never works! 😛
    Nice try
  12. Standard memberPhlabibit
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    15 Apr '03 13:27
    Originally posted by waldorf
    Nice try
    Good luck finding that treasure because that gives you 4 possible locations in a field to dig with an area of a 1/4 mile each. I'll take the map please!
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    15 Apr '03 20:11
    Originally posted by Phlabibit
    Good luck finding that treasure because that gives you 4 possible locations in a field to dig with an area of a 1/4 mile each. I'll take the map please!
    Good answer
  14. Standard memberroyalchicken
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    16 Apr '03 01:161 edit
    Originally posted by Phlabibit
    2 tangent circles of 2 miles and 4 miles intersect about 3.162 miles from either remaining corners. Area of said square is 17.9999. Math never works! 😛
    Erm...you have two triangles, one having sides of length 2, 3, x, and the other 3, 4, x. (X is side of square.) Finding the areas of each triangle and noting y^+z^2 = 9 (where y and z are the heights of these triangles) gives:

    x^4 - 20x^2 + 37 =0

    or x^2 = 10 + 3*Sqrt(7).

    There are 8 possible places, four corners, two directions.
  15. Standard memberPhlabibit
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    16 Apr '03 20:24
    Originally posted by royalchicken
    Erm...you have two triangles, one having sides of length 2, 3, x, and the other 3, 4, x. (X is side of square.) blah blah blah.... gives:

    x^4 - 20x^2 + 37 =0

    or x^2 = 10 + 3*Sqrt(7).

    There are 8 possible places, four corners, two directions.
    I hope you use your Math for all that is good and right!

    Yes, 8 locations it is. If you care, check it out.

    www.riwire.com/images/8treasures.jpg
    😉
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