Line CE, parallel to the lateral side of trapezoid ABCM, divides the base of AM into segments AE
| September 5, 2021 | education
Line CE, parallel to the lateral side of trapezoid ABCM, divides the base of AM into segments AE = 9cm and EM = 4cm. Find the middle line of the trapezoid.
Since MH is the middle line of the trapezoid, then it is parallel to the base AM and the segment AH, the side AB is parallel to CE by condition, then ACRE is a parallelogram, which means KP = AE = 9 cm.
The segment НР is the middle line of the triangle MCE, then НР = ME / 2 = 4/2 = 2 cm.
KН = KР + НР = 9 + 2 = 11 cm.
Answer: The length of the middle line of the trapezoid is 11 cm.
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