Question

Given trapezoid WXYZ, what is XY?

Answer 1

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

• Therefore:

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:

brainly.com/question/4451516