SOLUTION: the base of a triangle is given by the co-ordinates of the end points (0,0), (0,6). If the slopes of the other two sides are 2 and - 2/3, determine the co-ordinates of the third ve

Algebra ->  Algebra  -> Length-and-distance -> SOLUTION: the base of a triangle is given by the co-ordinates of the end points (0,0), (0,6). If the slopes of the other two sides are 2 and - 2/3, determine the co-ordinates of the third ve      Log On

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 Click here to see ALL problems on Length-and-distance Question 601037: the base of a triangle is given by the co-ordinates of the end points (0,0), (0,6). If the slopes of the other two sides are 2 and - 2/3, determine the co-ordinates of the third vertex. Answer by solver91311(16877)   (Show Source): You can put this solution on YOUR website! Actually, the third vertex can be in one of two places. If the slope 2 line goes through (0,6) and the slope line goes through (0,0) you have one case. If the lines are reversed you have another case. Case 1: slope 2 line through (0,6). Equation of this line: (Slope-intercept form.) Slope line through (0,0). Equation of this line: Solve the system of equations: for the ordered pair which is the point of intersection of the two lines. The other case has the following system of equations: John My calculator said it, I believe it, that settles it