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Question:
check whether (2,1),(6,5),(4,7) are vertices of a right angle triangle
Answer:

Let  A(2,1),  B(6, 5) and   C(4, 7) be the vertices of triangle ABC

The distance AB is,

 

 

 

 

 

 

The distance BC is,

 The distance CA is,

So  by Pythagoras thm. ABC is right angled triangle at B  

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