Question

Задано вершини трикутника A(-1;4-2), B(-6;-3;2), C (-2;-3;-5). Визначити довжину його медіани яка проведена з вершини В СРОЧНО БУДЬ ЛАСКА!

Answer 1

Ответ:

НЕ ЗНАЮ

Пошаговое объяснение:

ПОДУМАЮ

Answer 2

Calculation of the Length of the Median

To calculate the length of the median of a triangle, we need to find the midpoint of the side opposite the vertex from which the median is drawn. In this case, we need to find the midpoint of side BC.

The coordinates of point B are (-6, -3, 2), and the coordinates of point C are (-2, -3, -5). To find the midpoint, we can use the formula:

Midpoint = ( (x1 + x2) / 2, (y1 + y2) / 2, (z1 + z2) / 2 )

Substituting the coordinates of B and C into the formula, we get:

Midpoint = ( (-6 + -2) / 2, (-3 + -3) / 2, (2 + -5) / 2 )

Simplifying the equation, we have:

Midpoint = ( -8 / 2, -6 / 2, -3 / 2 )

Midpoint = ( -4, -3, -1.5 )

Now that we have the coordinates of the midpoint, we can calculate the length of the median. The length of the median can be found using the distance formula:

Distance = sqrt( (x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2 )

Substituting the coordinates of B (-6, -3, 2) and the midpoint (-4, -3, -1.5) into the distance formula, we get:

Distance = sqrt( (-4 - -6)^2 + (-3 - -3)^2 + (-1.5 - 2)^2 )

Simplifying the equation, we have:

Distance = sqrt( 2^2 + 0^2 + (-3.5)^2 )

Distance = sqrt( 4 + 0 + 12.25 )

Distance = sqrt( 16.25 )

Distance ≈ 4.03

Therefore, the length of the median of the triangle with vertices A(-1, 4, -2), B(-6, -3, 2), and C(-2, -3, -5) is approximately 4.03 units.