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CTK Exchange
mar
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Feb-22-07, 08:09 AM (EST) |
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"geometry"
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SUPPOSING THAT WE HAVE A FLAG WITH THE ONE SURFACE BLACK AND THE OTHER WHITE AND WE CUT A PIECE OF IT IN SHAPE OF SCALENE TRIANGLE,THEN IS THERE ANY WAY TO TURN OVER THE TRIANGLE SO THAT COVERS EXACTLY BOTH THE WHITE AND BLACK SIDE OF THE FLAG?THINK ABOUT EACH KIND OF TRIANGLE CONCERNING THE ANGLES BUT NOT ABOUT AN ISOSCELES OF COURSE |
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Kenneth Ramsey
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Feb-22-07, 11:04 PM (EST) |
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1. "RE: geometry"
In response to message #0
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Well if the three different angles of the triangle are labeled a,b,c in clockwise order, in what order do the angles a,b,c appear if you turn the triangle over to its opposite side? Clockwise or counter clockwise?
You should be able to get the answer to your question on the basis of this test. |
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MAR
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Feb-23-07, 11:16 PM (EST) |
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2. "RE: geometry"
In response to message #0
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I WONDER IF YOU COULD EXPLAIN ME MORE DETAILY.MY TEACHER TOLD ME THAT THERE IS A SPECIAL SCALENE THAT CAN FILL EXACTLY THE CUT PIECE OF BLACK SIDE WITH WHITE.WHAT COULD BE THAT? |
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mar
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Feb-24-07, 09:20 AM (EST) |
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4. "RE: geometry"
In response to message #2
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Sorry about writing in capitals.I mean that if we reverse the scalene triangle of black colour it is able to fill exactly the hole of black side with white colour.The delivering of the problem is itself confusing. |
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Kenneth Ramsey
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Feb-24-07, 11:50 PM (EST) |
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5. "RE: geometry"
In response to message #4
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I will explain in more detail only after you answer the question I posed. Sorry but the best mode of learning involves at least some effort to try various things, and see what happens. It is easy to see what happens to the clockwise/ counter clockwise order of the angles around the triangle when you flip the triangle over. Try it and report back. |
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mar
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Mar-02-07, 11:04 AM (EST) |
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6. "RE: geometry"
In response to message #5
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We turn the angles in counter-clockwise order and the triangle is still filling the hole.I have found a solution which has to do with the pericenter of the triangle and it's right in my teacher's opinion but I am searching for an alternative. |
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mar
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Mar-04-07, 00:27 AM (EST) |
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8. "RE: geometry"
In response to message #7
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If we take on the middle of each side the altitudes then we have three small isosceles triangles.By turning over each of them(IT'S VERY EASY FOR ISOSCELES TRIAGLES) we turn over the whole triangle so as to fill the hole. |
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