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9 May, 18:40

The coordinates of triangle FGH are F (2, 4), G (5, - 9) and H (-3, - 4). Which statement proves that triangle FGH is a right triangle? (m = y2 - y1 x2 - x1) A) The slope of GH = 5 8, and the slope of FH = 8 5; therefore, GH ⊥ FH. B) The slope of FG = - 5 8, and the slope of GH = 5 8; therefore, FG ⊥ GH. C) The slope of GH = - 5 8, and the slope of FH = 8 5; therefore, GH ⊥ FH. D) The slope of GH = - 8 5, and the slope of FH = - 5 8; therefore, GH ⊥ FH.

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  1. 9 May, 20:48
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    The equation of the slope is given by:

    m = (y2 - y1) / (x2 - x1)

    For GH we have:

    m = (-4 - (-9)) / (-3 - 5)

    m = (5) / (-8)

    m = - 5 / 8

    For FH we have:

    m = (-4 - 4) / (-3 - 2)

    m = (-8) / (-5)

    m = 8/5

    Answer:

    C) The slope of GH = - 5/8, and the slope of FH = 8/5; therefore, GH ⊥ FH
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