Q3 Determine if the points (1, 5), (2, 3) and (– 2, – 11) are collinear.
Let the points (1, 5), (2, 3), and (- 2,-11) be representing the vertices A, B, and C of the given triangle respectively.
Let A = (1, 5), B = (2, 3) and C = (- 2,-11)
So The distance AB :
The distance BC :
The distance CA :
As we can see that
AB + BC ≠ CA
Therefore, the points (1, 5), (2, 3), and ( - 2, - 11) are not collinear.