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Consider a triangle with vertices A(1,2)...

Consider a triangle with vertices `A(1,2),B(3,1),` and `C(-3,0)dot` Find the equation of altitude through vertex `Adot` the equation of median through vertex `Adot` the equation of internal angle bisector of `/_Adot`

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To solve the problem step by step, we will find the equations for the altitude, median, and internal angle bisector of triangle ABC with vertices A(1, 2), B(3, 1), and C(-3, 0). ### Step 1: Finding the Equation of the Altitude through Vertex A 1. **Find the slope of line BC:** - The coordinates of B are (3, 1) and C are (-3, 0). - Slope of BC (m2) = (y2 - y1) / (x2 - x1) = (0 - 1) / (-3 - 3) = -1 / -6 = 1/6. ...
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