# Find the length of the segment AB and the coordinates of its midpoint if ta with coordinates

Find the length of the segment AB and the coordinates of its midpoint if ta with coordinates (1; 3; 4), and тB with coordinates (-1; 4; 2)

Find the length of the segment AB if the coordinates of the points are known.

T. A (1; 3; 4);

T. B (-1; 4; 2).

| AB | = √ ((x2 – x1) ² + (y2 – y1) ² + (z2 – z1) ²) = √ ((- 1 – 1) ² + (4 – 3) ² + (2 – 4) ²) = √ ((- 2) ² + (1) ² + (-2) ²) = √) 4 + 1 + 4) = √9 = √3² = 3;

Let’s find the coordinates of its midpoint of the segment AB.

С (x; y; z) – coordinates of the midpoint of the segment AB.

x = (1 + (-1)) / 2 = 0/2 = 0;

y = (3 + 4) / 2 = 7/2 = 3.5;

z = (4 + 2) / 2 = 6/2 = 3;

Answer: | AB | = 3.

C (0; 3.5; 3). One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.