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Line EF is the median of the trapezoid ABCD. The median connects the midpoint of the legs of a trapezoid. Use the diagram to find the lengths of the median and base.​

Line EF is the median of the trapezoid ABCD The median connects the midpoint of the legs of a trapezoid Use the diagram to find the lengths of the median and ba class=

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sqdancefan

Answer:

  • median: 15
  • base: 18

Step-by-step explanation:

The median is the average of the lengths of the two bases:

  5x -20 = (12 + (4x -10))/2

  5x -20 = 2x +1

  3x = 21 . . . . . add 20-2x

  x = 7

Then the lengths are ...

  median = 5x -20 = 5·7 -20 = 15

  base = 4x -10 = 4·7 -10 = 18

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