The three points (-2,2), ,(8,-2) and (-4, -3) are the vertices of - Vidyadip

MCQ

The three points $(-2,2), \,(8,-2)$ and $(-4, -3)$ are the vertices of

A
An isosceles triangle
B
An equilateral triangle
✓
A right angled triangle
D
None of these

✓

Answer

Correct option: C.

A right angled triangle

c
(c) $a = \sqrt {{{(8 + 2)}^2} + {{( - 2 - 2)}^2}} = \sqrt {116} $

$b = \sqrt {{{( - \,4 - \,8)}^2} + {{( - \,3 + 2)}^2}} = \sqrt {145} $

$c = \sqrt {{{( - \,4 + 2)}^2} + {{( - \,3 - 2)}^2}} = \sqrt {29} $

$ \Rightarrow \,\,{a^2} + {c^2} = {b^2}$

Hence it is right angled triangle.

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