State which point lies between the other two points if d(AB) = 16, d(AC) = 9 and d(BC) = 7
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Answer:
C lies between A and B.
A, B and C are collinear.
Step-by-step explanation:
In the question,
We have been provided that,
Distance between A and B is,
d(A, B) = 16
Distance between C and A is,
d(C, A) = 9
and,
Distance between B and C is,
d(B, C) = 7
So,
We can draw it like, as we can see that,
d(B, C) + d(C, A) = 9 + 7 = 16
So,
The common point between them is C.
Therefore, we can say that the point lying between A and B is C.
Also,
we can see that from the figure attached below:
C lies between A and B.
and,
Therefore,
A, B and C are collinear.
Attachments:
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