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,

Algebra ->  Geometry-proofs -> 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,      Log On


   



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(52794) About Me  (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.
~~~~~~~~~~~~~~~~~~~~~~~~~


                        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.


*******************************************************************************

        In my opinion,  it is  EXTREMELY  RUDE  to send defective tasks to the forum.

                                You simply  STOLE  my time.

*******************************************************************************


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  ( ! )