Question

in a triangle abc where A (0,5), B(-2,-3), C(5,-4) the equation of median through A in given by​

Answer 1

Answer:

The answer is $17x+3y=15$

Step-by-step explanation:

Using mid point formula, coordinate of mid point of B(-2,-3) and C(5,-4) is

                              $=(\frac{-2+5}{2},\frac{-3-4}{2})=(\frac{3}{2},-\frac{7}{2})$

Therefore using two point form, equation of median is

                          $y-5=\dfrac{-\frac{7}{2}-5}{\frac{3}{2}-0}(x-0)$

                         $\Rightarrow y-5=\dfrac{-17}{3}(x-0)\ \\ \Rightarrow 3(y-5)=-17x\\\Rightarrow 17x+3y=15$