Mr Salvado is planning to move to Italy. He got a job in Mestre (Venice), his wife got a job in Vicenza and the children are going to study at the University of Padua. Mr and Mrs Salvado have been given a map and want to find the name of the town which has the same distance to the three cities. Use your mathematical knowledge to state the best place where Mr and Mrs Salvado shall move. Justify your answer.
Find the coordinates of the midpoint M between Padua-Vicenza
Find the equation of the perpendicular line to Padua-Vicenza that goes through the midpoint M.
Find the equation of the perpendicular line to Padua-Vicenza that goes through the midpoint M
Repeat steps c-e for Padua-Mestre. Once you have the equation of the two lines, find their point of intersection. Hence, state the name of the town where Mr Salvado shall move with his family.
Prove why its is not needed to find the equation of the perpendicular line to Vicenza-Mestre.he The claim is that Riese is the best place where to live. Explain whether this is correct. Justify your answer [br]