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Question

Without using the pythagoras theorem, Show that the point (4,4),(3,5)and(1,1) are the vertices of a right angled triangle

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Solution

Let the points be A(4,4)B(3,5)C(1,1)
slope of side AB is 5434=1
slope of side AC is 1414=1
now product of slopes is 1
there fore the ABC is right triangle

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