Question

Tres pueblos A, B y C, situados en los lados de un triángulo, quieren construir una piscina común para sus habitantes, de forma que quede a la misma distancia de los tres. ¿En qué punto se construirá? ¿Cómo se llama ese punto?

Answer 1

The name of the point is the circumcenter of the triangle

Explanation:

The pool will be built at a point which is equidistant from the three points.

This means that the distance from that center point to point A equals the distance from that center point to point B which is equal to the distance from that center point to point C.

The name of this point is called the CIRCUMCENTER of the triangle

The circumcenter is equidistant from the three vertices of the triangle which are the points A , B and C in this case