Q. 4

The triangle with vertices (–2, 1), (2, –2) and (5, 2) is :
A. right angled

B. equilateral

C. isosceles

D. none of these

Answer :

We have A (–2, 1)


B (2, –2)


C (5, 2)


Using the distance formula,


AB =


=


=


= = 5


BC =


=


=


=


CA =


=


=


=


We find that (AB)2 + (CA)2 = (BC)2, or simply (5, 5, √50) forms a pythagorean triplet and hence the points A, B and C form a right angled triangle.


The correct option is A.

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