Applying the trapezium midsegment theorem, the length of XY is: 30.
What is the Trapezium Midsegment Theorem?
- Trapezium midsegment theorem states that the length of the median that joins two sides of a trapezium equals half the sum of he two bases of the trapezium.
Thus:
Let XY = x
WZ = 4/3(x)
DE = 35 (given)
Thus:
35 = 1/2(4/3x + x)
2(35) = 7x/3
70 = 7x/3
3(70) = 7x
210 = 7x
x = 30
x = XY = 30
Therefore, applying the trapezium midsegment theorem, the length of XY is: 30.
Learn more about trapezium midsegment theorem on:
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