Krishna
0

Step 1: Calculate the slope of the line perpendicular to the altitude  

             NOTE: m = \frac{y_2 - y_1}{x_2 - x_1}

            EXAMPLE: Line AC is perpendicular to the altitude

                              A(1, 2), C(4, 11)

                              m = \frac{11 - 2}{4 - 1} = 3

  

Step 2: Find the slope of the altitude

          NOTE: Perpendicular gradients are connected by m_1 m_2 = - 1

          EXAMPLE: Altitude slop m(3) = -1

                                                   m = \frac{-1}{3}


Step 3: Calculate the equation of the line containing the altitude from the vertex and the slope.

              NOTE: y - y_1 = m(x - x_1)

              EXAMPLE: vertex (6, 3) and slope   m = \frac{-1}{3}

                                 y - 3 = \frac{-1}{3} (x - 6)

                                              

Step 4:Substitute the known values in the line equation and simplify

                    EXAMPLE: 3(y - 3) = -1(x - 6)

                                          3y + x = 6 + 9

                                        3y + x = 15


Step 5: Do this for the other two medians as well.