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Three points, A, B, and C exists in space such that B is "between" A and C. It is known that AB  7 , BC  4 and AC  9 . Are points A, B, and C collinear? Give a written explanation, supported by mathematical evidence, for your answer.

Respuesta :

joseaaronlara

Answer:

The answer to your question is: the points are not collinear.

Step-by-step explanation:

Data

AB = 7

BC = 4

AC = 9

Are points A,B and C collinear?

If they are collinear, the distance from AB plus the distance BC must be equal to the distance AC.

Process

                 dAB    +     d dBC     =     d AC

                  7         +    4              =     9

                                     11           =    9  

The distances are different so they are no collinear