Throughout the years of the history of the development of mathematics, starting with the ancient mathematicians, new things were discovered from time to time, which made it a central component of the computerized world, which serves us in many fields, with the young "swimming" in it, and the adults asking: how could we live without it! Even these days, new properties are being discovered in all areas of mathematics that show the beauty inherent in it. An interesting field, in which it is possible to discover through research activity, properties unknown to many (because some of them may be known) is the field of Euclidean Geometry, When performing the research, you can use dynamic software that enables the software research while performing movement of elements. In each state of the movement, certain size values appear on the screen indicating the conservation of the property. An interesting task will be presented where a straight line is always perpendicular to a side in one triangle and its continuation is the median of a triangle connected to it at one point.