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Without using Pythagoras theorem, show that the vertices \((1,-4)\), \((2,-3)\) and \((4,-7)\) form a right angled triangle.
 
Answer:
 
Slope of \(AB =\)
 
Slope of \(BC =\)
 
Slope of \(AC =\)
 
Therefore, \(\triangle ABC\) is  because the product of the slopes of \(AB\) and \(AC\) is .