In recent years, television has undergone a true revolution in terms of image quality, sound and interactivity with viewers. This transformation is due to the conversion of the analog signal to the digital signal. However, many cities still do not have this new technology. Seeking to bring these benefits to three cities, a television station intends to build a new transmission tower that sends signal to antennas A, B and C, already existing in these cities. The locations of the antennas are represented in the Cartesian plane. The tower must be located in a place equidistant from the three antennas. The appropriate location for the construction of this tower corresponds to the point with coordinates (A) $(65; 35)$. (B) $(53; 30)$. (C) $(45; 35)$. (D) $(50; 20)$. (E) $(50; 30)$.
In recent years, television has undergone a true revolution in terms of image quality, sound and interactivity with viewers. This transformation is due to the conversion of the analog signal to the digital signal. However, many cities still do not have this new technology. Seeking to bring these benefits to three cities, a television station intends to build a new transmission tower that sends signal to antennas A, B and C, already existing in these cities. The locations of the antennas are represented in the Cartesian plane.
The tower must be located in a place equidistant from the three antennas.
The appropriate location for the construction of this tower corresponds to the point with coordinates
(A) $(65; 35)$.
(B) $(53; 30)$.
(C) $(45; 35)$.
(D) $(50; 20)$.
(E) $(50; 30)$.