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Thread: Buying Land

  1. #1
    Plutonium Lounger
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    Re: Buying Land

    <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>$21,000</font color=yellow></span hi>

  2. #2
    Plutonium Lounger
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    Re: Buying Land

    I actually did this one on the back of a printout I didn't need any more. I used Visual Basic for several of the others.

  3. #3
    Silver Lounger
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    Re: Buying Land

    It would comfort me to know that you're not solving these with a pencil on the back of an envelope...
    <img src=/S/cheers.gif border=0 alt=cheers width=30 height=16>
    - Ricky

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    Re: Buying Land

    $48,303 ( I think)
    Alchopop

  5. #5
    Silver Lounger
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    Buying Land

    <P ID="edit" class=small>(Edited by Tricky on 17-May-03 20:48. corrected a missssspelled word !)</P>As usual, look past the artwork and know that the three squares are squares and that they meet at the corners. And that proportionally speaking, the diagram is probably not accurate...Otherwise:

    I just purchased the triangular section of property (gray area) for $1000 per square mile. What was my total cost?
    - Ricky

  6. #6
    Silver Lounger
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    Re: Buying Land

    Hi Simon, Thanks for trying. Your solution is not correct.
    - Ricky

  7. #7
    Platinum Lounger
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    Re: Buying Land

    OK Hans. You win old chap <img src=/S/grin.gif border=0 alt=grin width=15 height=15>. I've tried looking for any possible shortcut here, but can't find one. Clearly, it's not a right triangle, and all side lengths are a given, so it's obviously possible to calculate the area from this data. The expression I have is far from a neat "cancel everyting out with everything else and there's your answer". But I'm sure there must be a shortcut, given the "nice" number you arrived at in your (correct) result. Any hints?

    Alan

  8. #8
    Platinum Lounger
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    Re: Buying Land

    Thanks Hans. Easy enough when you see it all laid out for you <img src=/S/grin.gif border=0 alt=grin width=15 height=15>.
    My "mistake" was diving straight for Heron's? Formula, once I picked it as a non-right triangle. Obviously better to take advantage of the whole-number squares of the sides, using Cosine Rule as you did. I'll know better next time. <img src=/S/grin.gif border=0 alt=grin width=15 height=15>

    cheers

    Alan

  9. #9
    Plutonium Lounger
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    Re: Buying Land

    I'll give an abbreviated explanation. See attached picture. The squares of the sides are 61, 153 and 388. Substitute this into the last equation in the picture to get 61 = 153 + 388 - 2*b*c*cos(alpha). Manipulating this a bit yields that cos

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