Identify whether the points A(4,2),B(7,5) and C(9,7) are collinear or not?
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Solution
Let the points (4,2),(7,5), and (9,7) be representing the vertices A, B, and C of the given triangle respectively.
Let A=(4,2), B=(7,5) and C=(9,7)
AB= √(x1−x2)2+(y1−y2)2 = √(4−7)2+(2−5)2 = √18
BC = √(7−9)2+(5−7)2 = √8
AC =√(4−9)2+(2−7)2 = √50
AB + BC is not equal to AC
Therefore, the points (4,2),(7,5), and (9,7) are not collinear.