Question

Определите длину отрезка АВ принадлежащего профильно-проецирующей прямой, если координаты А (10; 50; 10), В (50;50;10). Пжлста, помогите :)

Answer 1

$\sqrt{ (10 - 50)^{2} +(50 - 50)^{2} + (10 - 10)^{2}} = \sqrt{40^{2}} = 40.$

Answer 2

Calculation of the Length of Line Segment AB

To determine the length of line segment AB, we can use the distance formula in three-dimensional space. The distance formula is derived from the Pythagorean theorem and calculates the distance between two points in space.

The formula for calculating the distance between two points (x1, y1, z1) and (x2, y2, z2) is:

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

In this case, the coordinates of point A are (10, 50, 10) and the coordinates of point B are (50, 50, 10). Plugging these values into the distance formula, we can calculate the length of line segment AB.

d = sqrt((50 - 10)^2 + (50 - 50)^2 + (10 - 10)^2)

Simplifying the equation:

d = sqrt(40^2 + 0^2 + 0^2)

Calculating the squares:

d = sqrt(1600 + 0 + 0)

Adding the squares:

d = sqrt(1600)

Taking the square root:

d = 40

Therefore, the length of line segment AB is 40 units.