$$\(20 A B C\)$$ is an isosceles triangle such that $$\(A B=A C\)$$ $$\(A\)$$ has coordinates $$\((4,37)\)$$ $$\(B\)$$ and $$\(C\)$$ lie on the line with equation $$\(3 y=2 x+12\)$$ Find an equation of the line of symmetry of triangle $$\(A B C\)$$. Give your answer in the form $$\(p x+q y=r\)$$ where $$\(p, q\)$$ and $$\(r\)$$ are integers. Show clear algebraic working.

Answer:

Knowledge points:

Solution: