Question 19
The perimeter of a triangle formed by points A(1,2), B(3,-4), and C(-2,-3) is in the form $x\sqrt{5y}+\sqrt{17y}+\sqrt{2z}$. What is x + y + z?
Convention: match the reduced positive-radical lengths AB, AC, BC in the displayed order, using positive integer parameters.
Convention: match the reduced positive-radical lengths AB, AC, BC in the displayed order, using positive integer parameters.