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Math Help - Find the orthocenter of the triangle

  1. #1
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    Find the orthocenter of the triangle

    Given triangle RST, with R (-3,2), S (4,5), and T (7,-2), find the coordinates of its orthocenter.

    Maybe I'm doing the math wrong, but I keep getting different answers that won't work out. Thanks for all help.
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  2. #2
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    Quote Originally Posted by ilikewhoa View Post
    Given triangle RST, with R (-3,2), S (4,5), and T (7,-2), find the coordinates of its orthocenter.

    Maybe I'm doing the math wrong, but I keep getting different answers that won't work out. Thanks for all help.
    Find the slope m of the line ST.
    The slope of the perpendicular line to ST is -1/m.
    Find the perpendicular line to ST passing through A.
    Repeat the same thing for RS.
    To get orthocenter, find the point of intersection of these two perpendicular lines.
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