Line EF is the median of the trapezoid ABCD. The median connects the midpoint of the legs of a trapezoid. Use the diagram to fin
d the lengths of the median and base.
1 answer:
Answer:
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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