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CTK Exchange
Murali
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May-29-07, 09:02 AM (EST) |
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"Geometry"
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Dear sir,
A triangle is drawn on a sheet of paper. The paper is then trimmed so that the vertices of the triangle are cut off, and the sheet contains part of each side. From this, is it possible to find the median of the original triangle? If so , what is the construction?
Regards
Murali |
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mpdlc
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May-30-07, 02:53 PM (EST) |
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1. "RE: Geometry"
In response to message #0
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I think is obvious in the common inner region left by the broken sides just draw parallel lines to the discontinued original sides of our triangle at the same distance from them, till you get another triangle similar to the original broken one. This new triangle has the same medians , barycenter, etc than the original one. mpdlc |
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Murali
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Jun-05-07, 09:02 PM (EST) |
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2. "RE: Geometry"
In response to message #1
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Dear mppdic,
The method does not work as the crntroid shifts.Itried it out with coordinate geometry.
However thanks for the lead. I worked it out thus. Draw Two parallel lines to one of the sides which are intercepted by the other two incomplete sides. The midpoint of these two segments lie on the median of the original triangle. Join these two midpoints to get one median repeat on the other two sides to get the centroid.
Thanks
Murali |
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