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Question

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= (x1x2)2+(y1y2)2
= (47)2+(25)2 = 18
BC = (79)2+(57)2 = 8
AC =(49)2+(27)2 = 50
AB + BC is not equal to AC
Therefore, the points (4,2),(7,5), and (9,7) are not collinear.

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