From point M, two segments are drawn to plane a until the intersection at points N and K. Points D and E

From point M, two segments are drawn to plane a until the intersection at points N and K. Points D and E are the midpoints of segments MN and MK. Find the length of the segment NK if DE = 4 cm.

To solve this task, we will use the basic properties of the simplest geometric shapes.

According to the assignment, we lower two segments from point M to plane A until they intersect with the plane at points N and K.

Connecting points N and K, we get a triangle, that is, a figure that consists of three points that do not lie on one straight line, and three segments connecting these points in pairs.

Based on the task, connecting the midpoints of the segments MK and MN, we get the middle line of the triangle, and since, according to the theorem, it is parallel to the third side and is equal to half of it.

We can write down that the third side of the triangle NK is 4 cm * 2 = 8 cm.