Q. 4

# The triangle with vertices (–2, 1), (2, –2) and (5, 2) is :A. right angledB. equilateralC. isoscelesD. none of these

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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