The bases of the trapezoid are 5.6 and 2.4 meters. Into what segments does 1 of the diagonals divide

The bases of the trapezoid are 5.6 and 2.4 meters. Into what segments does 1 of the diagonals divide the middle line of the trapezoid.

Let’s draw the diagonal of the trapezoid BD which intersects the middle line KM at point O.

The diagonals of the trapezoid formed two triangles – ABD and BCD.

In triangle ABD, the segment KO is its middle line, since AK = BK, and the segment KO is parallel to the base of AD. The midline of a triangle is half the length of the side parallel to it. KO = AD / 2 = 5.6 / 2 = 2.8 m.

Similarly, in the BCD triangle, the MO segment is the middle line of the triangle, and MO = BC / 2 = 2.4 / 2 = 1.2 m.

Answer: The diagonal divides the middle line of the KM into segments of 2.8 m, 1.2 m.