The equations of the perpendicular bisectors of the sides `A Ba n dA C` of triangle `A B C` are `x-y+5=0` and `x+2y=0` , respectively. If the point `A` is `(1,-2)` , then find the equation of the line `B Cdot`

Explanation

Given,AB line is perpendicular to EO and passes through vertex A,
Equation of `AB::x+y+1=0`

Coordinates of `E=(x_1+1)/2,(y_1−2)/2`

Which is also intersection point of AB with `x−y+5=0`
So,

`(x_1+1)/2=−3; (y_1−2)/2=2`

`⇒(x_1,y_1)≡(−7,6)`

similarly equation of `AC::y=2x−4`

and coordinates of `F=(x_2+1)/2,(y_2−2)/2`

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