518,099 views
36 votes
36 votes
1. What is the length of XU?
X
U
Y
36 in
V
Z
W
23 in

1. What is the length of XU? X U Y 36 in V Z W 23 in-example-1
User Sagar Giri
by
2.8k points

2 Answers

10 votes
10 votes

Answer: 49 in

Explanation:

  • [23 + XU]/2 = 36 [trapezoid midsegment theorem]
  • 23 + XU = 72 [multiply both sides by 2]
  • XU = 49 [subtract 23 from both sides]
User Rushby
by
2.6k points
19 votes
19 votes

To find the length of XU, we can use the fact that side XY is equal to side YZ and side UV is equal to side VW. By setting up a proportion, we can determine that XU is equal to 23.

To find the length of XU, we can use the fact that side XY is equal to side YZ and side UV is equal to side VW.

Since YV intersects line XZ and UW, we can use the concept of corresponding angles to determine that triangle XYV is similar to triangle XZWU. Therefore, we can set up the following proportion:

XY / ZW = YV / UW

Substituting the given values, we have:

36 / 23 = 36 / XU

Cross-multiplying, we get:

36 * XU = 36 * 23

Dividing both sides by 36, we find:

XU = 23

The probable quesiton may be:

In a figure XZWU, YV intersect the line XZ and UW. Side XY= YZ and Side UV=VW . SIde YV=36 in and side ZW=23 in. What is the length of XU?

User Jagadeesh J
by
2.8k points
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