Question

Как называют точку пересечения медиан треугольника?

Answer 1

Точка пересечения называется центроидом или центром тяжести треугольника.

Answer 2

Центроид или центр тяжести треугольника

Answer 3

The Point of Intersection of the Medians of a Triangle

The point of intersection of the medians of a triangle is called the centroid.

This point is often denoted by the letter G and is located at two-thirds of the distance from each vertex to the midpoint of the opposite side. The centroid is considered the center of mass of the triangle and is an important point in various geometric and engineering applications.

The centroid is calculated using the formula: \[ G = \frac{1}{3}(A + B + C) \] where A, B, and C are the vertices of the triangle.

The centroid has several interesting properties, such as being the balancing point of the triangle and being the point of intersection of the medians, which are the line segments joining each vertex to the midpoint of the opposite side.

The centroid is a key point in the study of triangle geometry and has significant applications in various fields, including physics, engineering, and computer graphics.