Question

Find the equation of the medians of triangle with vertices A(1,2) B(3,4) C (-2,-5).

Answer 1

AQ: $y-2=\frac{2+\frac{1}{2}}{1-\frac{1}{2}}(x-1)$

$\Rightarrow (y-2)\frac{1}{2}=\frac{5}{2}(x-1)$

$\Rightarrow y=5x-3$

BR: $y-4=\frac{4+\frac{3}{2}}{3+\frac{1}{2}}(x-3)$

$\Rightarrow 7y-28=11x-33$

$\Rightarrow 7y=11x-5$

PC: $y-4=\frac{4+5}{2+2}(x-2)$

$\Rightarrow 4y-16=9x-18$

$\Rightarrow 4y=9x-2$.