SOLUTION: 1. If A, B, C, D are collinear and AB = 8, AC = 12, AD = 16, BC = 20,
BD = 24, CD = 28, find all possible betweenness relations.
2.Show that if A ∗ B ∗ C and B ∗ C ∗ D,
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Question 1208294: 1. If A, B, C, D are collinear and AB = 8, AC = 12, AD = 16, BC = 20,
BD = 24, CD = 28, find all possible betweenness relations.
2.Show that if A ∗ B ∗ C and B ∗ C ∗ D, then A ∗ B ∗ D and A ∗ C ∗ D.
[5]
Answer by ikleyn(52795) (Show Source): You can put this solution on YOUR website!
.
1. If A, B, C, D are collinear and AB = 8, AC = 12, AD = 16, BC = 20,
BD = 24, CD = 28, find all possible betweenness relations.
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To problem 1.
This configuration of distances as given in the post
BC = 20, BD = 24, CD = 28
NEVER may happen for three points B, C and D collinear on a straight line. It is SELF-CONTRADICTORY description.
From it, I conclude that the problem is posed INCORRECTLY, CAN NOT BE SOLVED and is FATALLY DEFECTIVE.
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In my opinion, it is EXTREMELY RUDE to send defective tasks to the forum.
You simply STOLE my time.
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I saw the " solution " to this problem at other site
https://www.studocu.com/row/messages/question/9073190/if-a-b-c-d-are-collinear-and-ab-8-ac-12-ad-16-bc-20bd-24-cd-28-%EF%AC%81nd-all-possible
created with AI " 4 days ago ". They don't even notice this discrepancy, so their " solution " is a fake.
In the site
https://www.studocu.com/row/messages/question/9116565/21-if-a-b-c-d-are-collinear-and-ab-8-ac-12-ad-16-bc-20bd-24-cd-28-find-all
they consider the same problem with the same data, but do not see that the input data is defective.
Again, it was created with AI " 2 days ago ".
So, it is a fake, again.
Extremely stupid AI, actually.
It should be re-programmed/re-teached immediately ( ! )
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