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Coordinate Geometry Test - 3

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Coordinate Geometry Test - 3
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    The points (4, 4), (3, 5) and (-1, -1) form the vertices of a/an

    Solution

    A = (4, 4), B = (3, 5), C = (-1, -1)
    (AB)2 = (3 - 4)2 + (5 - 4)2 = 2
    (BC)2 = (-1 - 3)2 + (-1 - 5)2 = 16 + 36 = 52

    (AC)2 = (-1 - 4)2 + (-1 - 4)2 = 25 + 25 = 50
    (AB)2 + (AC)2 = BC2
    2 + 50 = 52

    AB is perpendicular to AC. BC is hypotenuse.
    It is a right angle triangle.

     

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