The bases of the trapezoid are 11 and 10. The diagonal divides its midline into two segments.
| February 1, 2021 | education
The bases of the trapezoid are 11 and 10. The diagonal divides its midline into two segments. Find the largest of these line segments.
Since KM is the middle line of the trapezoid, it is parallel to the bases of the BC and BP of the trapezoid.
In triangle ABC, the segment KН is parallel to BC, point K is the middle of ABC, then KН is the middle line of triangle ABC. KН = BC / 2 = 10/2 = 5 cm.
In the AСD triangle, the MН segment is parallel to the ABP, point M is the middle of the СD, then MН is the middle line of the AСD triangle. MH = AD / 2 = 11/2 = 5.5 cm.
Answer: The largest segment of the midline is 5.5 cm.
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