Q17 of 169 Page 644

Show that the points A(-5, 1), B(5, 5) and C(10, 7) are collinear.

Given: The points are A(-5, 1), B(5, 5) and C(10, 7).


Note: Three points are collinear if the sum of lengths of any sides is equal to the length of the third side.


AB


= 2√29 units …..(1)


BC


= √29 units …..(2)


AC


= 3√29 units …..(3)


From equations 1, 2 and 3, we have


AB + BC = AC


Therefore, the three points are collinear.


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