Question

23) Find the length of the median of each trapezoid.

A) 7.4
C) 5.6
B) 5.8
D) 6.1

Answer 1

Answer: 5.8 (choice B)

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Step-by-step explanation:

To find the length of the median, we add up the parallel sides and divide by 2. In other words, we're averaging the parallel sides to get the length of the midsegment shown.

FE = (WX + VY)/2

FE = (4.5 + 7.1)/2

FE = 11.6/2

FE = 5.8

Answer 2

The length of the median (FE) is simply the sum of the midpoints:5.8 cm.

The median of a trapezoid is the segment connecting the midpoints of the non-parallel sides.

In this case, the non-parallel sides are WX and VY.

To find the length of the median (FE), we need to find the midpoints of WX and VY:

Midpoint of WX: (WX)/2 = 4.5 cm / 2 = 2.25 cm

Midpoint of VY: (VY)/2 = 7.1 cm / 2 = 3.55 cm

Therefore, the length of the median (FE) is simply the sum of the midpoints:

FE = 2.25 cm + 3.55 cm = 5.8 cm