The middle line of the trapezoid is divided by the diagonal into segments 4 cm long and 7 cm long find the base
| September 24, 2021 | education
The middle line of the KM trapezoid ABCD is parallel to the bases of BC and AD, then the segments OM and OK are also parallel to BC and AD.
In triangle ABD, the segment KO is its middle line, since ВK = AK, and KO is parallel to AD, then AD = 2 * KO = 7 * 2 = 14 cm.
Similarly, in the triangle BCD, BC = 2 * OM = 2 * 4 = 8 cm.
Answer: The lengths of the bases of the trapezoid are 14 cm and 8 cm.
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