Find the equations to the altitudes of the triangle whose angularpoint – InterviewSolution

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1.	Find the equations to the altitudes of the triangle whose angularpoints are `A(2,-2),B(1,1)a n dC(-1,0)dot`
Answer» `m=(y_2-y_1)/(x_2-x_1)` `y-y_1=m(x-x_!)` `m_(BC)=(0-1)/(-1-1)=1/2` `m_(AD)=-2` Equation of AD`y-(-2)=(-2)(x-2)` `y+2=-2x+4` `y+2x=2` `A(2,-2),C(-1,0)` `m_(AC)=(0-(-2))/(-1-2)=-2/3` `m_(BE)=3/2` Equation of BE`y-1=3/2(x-1)` `(y-1)2=3x-3` `2y-2-3x+3=0` `2y-3x+1=0` `A(2,-2),B(1,1)` `m_(AB)=(1-(-2))/(1-2)=-3` `C(-1,0)` `y-0=1/3(x-(-1))` `m_(CF)=1/3` `3y=x+1` `x-3y+1=0`.

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