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35 replies to this topic

### #1 brhan

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Posted 24 February 2008 - 06:36 PM

I have got a square field with one cow. My cow lied 13 meters from one of the corner posts of the field, 17 meters from the corner post diagonally opposite that one, and 20 meters from a third corner post. Can someone tell me how big (perimeter) a field I own?

You may assume the field is flat, and the distance of the cow from the corner poles is measured from the center of mass of the cow -- you know what I mean.

Edited by brhan, 24 February 2008 - 06:37 PM.

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### #2 plortylox

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Posted 24 February 2008 - 10:12 PM

ill try it...

cow is not sitting in middle of field or at least along the line of the diagional of the first 2 stated corners.

nope its doin my head in..

thats all from me
i first thought 30m diag but the sq thing cuts that out..
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### #3 bonanova

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Posted 25 February 2008 - 01:25 AM

Spoiler for roughly

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

### #4 storm

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Posted 25 February 2008 - 03:18 AM

I did some maths like these when i was in high school, but now i forgot everything.
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### #5 Aatif

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Posted 25 February 2008 - 12:04 PM

Spoiler for Grazing Cows

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### #6 brhan

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Posted 25 February 2008 - 01:41 PM

Spoiler for Grazing Cows

The approach looks correct to me. My comment would be the B and C poles must be in diagonally opposite position.

I have got a square field with one cow. My cow lied 13 meters from one of the corner posts of the field, 17 meters from the corner post diagonally opposite that one, and 20 meters from a third corner post. Can someone tell me how big (perimeter) a field I own?
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### #7 Aatif

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Posted 25 February 2008 - 02:52 PM

The approach looks correct to me. My comment would be the B and C poles must be in diagonally opposite position.

I have got a square field with one cow. My cow lied 13 meters from one of the corner posts of the field, 17 meters from the corner post diagonally opposite that one, and 20 meters from a third corner post. Can someone tell me how big (perimeter) a field I own?

My mistake .. Didn't read "that one"!!
Spoiler for Correction

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### #8 bonanova

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Posted 25 February 2008 - 07:33 PM

My mistake .. Didn't read "that one"!!

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Nice job Aatif,

My ruler and compass solution first tried 18.5m side [too small] then 20m [too big].
I interpolated to 19m, which was a tad small but within a thickness or two of my pencil line, so I stopped there.
Why it didn't occur to me to drop perpendiculars from the cow to the fence I don't know.

brhan, good puzzle.
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

### #9 EventHorizon

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Posted 26 February 2008 - 01:05 AM

Spoiler for calculators make it too easy

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### #10 EventHorizon

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Posted 26 February 2008 - 01:18 AM

Spoiler for calculators make it too easy

Spoiler for method

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