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

August 18, 2021 | education

| **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.

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