Find the equation is of the altitudes of as `"Delta"A B C` whose vertices are `A(1,4),\ B(-3,2)a n d C(-5,-3)dot`

Explanation

`L_{1} bot L_{2}`


`m_{1} m_{2}=-1`


AE, BF, CG


`text { slope of } A B=frac{2-4}{-3-1}=frac{-2}{-4}=(frac{1}{2})`


`B C=frac{-3-2}{-5+3}=frac{-5}{-2}=frac{5}{2}`


`A C=frac{-3-4}{-5-1}=frac{-7}{-6}=(frac{7}{6})`


`A E rightarrow M_{1}, B F rightarrow M_{2}, CG rightarrow M_{3}`.


`M_{1}(frac{5}{2})=-1 quad M_{1}=frac{-2}{5} `


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