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without using the pythagorus theorem show that the points(4,4),(3.5)and (-1,-1) are the vertices of a right angled triangle

Let A(4,4), B(3,5) and C(-1,-1) are the points.
slope of AB=-1
slope of AC = 1
Their product  = -1
Hence AB and AC are perpendicular.
Thus ABC is a right triangle.




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