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You are not logged in. #1 20060305 16:08:43
Think different!1. Connect the nine points given below with four straight lines. All the points should be connected. When you start connecting the points with a pencil, don't take the pencil off the paper until you have finished. Character is who you are when no one is looking. #4 20060306 03:17:14
Re: Think different!Errr ... #5 20060306 05:02:57
Re: Think different!My solution to 1 was slightly different from JLFM, but the same principle. It is, of course, a perfect example of thinking "outside the box"!! #6 20060306 05:16:05
Re: Think different!2. Grammar check, please! I presume that the question should be "exactly 2 EQUAL parts" (ie, 2.5 square units each). #7 20060306 05:33:50
Re: Think different!I worked out that this can be done using a straightedge only. Ashwil's solution a) can be accomplished as well, but I think you'd need some other tool like a protractor as well. We'll see if I'm right #8 20060306 05:48:37
Re: Think different!I've seen the problem 2 with circles. IPBLE: Increasing Performance By Lowering Expectations. #9 20060306 06:46:03
Re: Think different!fgarb, my reasoning for choosing the 5/6 solution was based on the way ganesh had drawn the diagram. Note, the vertical lines are conveniently punctuated with dots at 1/6 intervals. Therefore, a straight line joining the dot below J with the dot below E would do the job just fine! #10 20060306 07:55:04
Re: Think different!Anyone know how to do piecewise function with latex? "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #11 20060306 10:35:53
Re: Think different!No idea how to do piecewise functions in LaTeX, however the center of mass represents the point at which the object could balance, which does not gaurantee that drawing a line through it would split the area equally. #12 20060306 10:40:47
Re: Think different!OK, scrub the plumbline  the moments don't work like that for an irregular shape! My mistake. Soooorryy! #13 20060306 16:25:07
Re: Think different!Well, a simple solution, but which requires 'thinking differently'! Character is who you are when no one is looking. #14 20060314 10:12:34
Re: Think different!My solution was to connect D to the midpoint of IJ, for the exact same reason. #15 20060315 03:06:39
Re: Think different!Ikcelaks, that is better than my solution! Character is who you are when no one is looking. #16 20070313 16:49:32
Re: Think different!
Is it only the areas that have to be equal, or do the shapes have have to be identical as well? If only the areas need to be equal (not the shapes), then this is too easy. You just have to slice off an area of exactly 2.5 from the figure. Last edited by JaneFairfax (20070313 17:11:56) 