Q14 of 49 Page 167

Can you draw a triangle with vertices (1, 5), (5, 8) and (13, 14)? Give reason.

Let A(1, 5), B(5, 8) and C(13, 14)

⇒ AB =


AB =


AB = 5


⇒ BC =


BC =


BC = 10


⇒ AC =


AC =


AC = 15


Largest side is AC = 15 which is equal to Sum of other two sides AB and BC i.e. (10 + 5 = 15)


∴ triangle cannot be drawn infact the points are collinear


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