Question

$P(3,4)Q(7,-2)$ and $R(-2,-1)$ are vertices of $△PQR$ write equation of median

Answer 1

From the figure we have,

$A=(\frac{-2+3}{2},\frac{4-1}{2})=(\frac{1}{2},\frac{3}{2})$

$B=(\frac{7+3}{2},\frac{4-2}{2})=(\frac{5}{1},\frac{1}{1})$

$C=(\frac{-2+7}{2},\frac{-2-1}{2})=(\frac{5}{2},\frac{-3}{2})$

Using the formula of equation of line,

equation of the median $PC$ is given by

$y-4=\frac{4+3/2}{3-5/2}(x-3)$

$⟹11x-y-29=0$

equation of the median $RB$ is given by

$y+1=\frac{1+1}{5+2}(x+2)⟹2x-7y-3=0$

equation of the median $AQ$ is given by

$y+1=\frac{-2-3/2}{7-1/2}(x+2)⟹7x+13y-23=0$