Question

Line segment YV of rectangle YVWX measures 24 units.

What is the length of line segment YX?

A-8 units
B- units
C-12 units
D-units

Answer 1

B. 8√3 units

Explanation:

Edge 2021

Answer 2

Answer: 8√3

Explanation:

ΔXVW is a 30°-60°-90° triangle. This special triangle has corresponding sides of lengths: b - b√3 - 2b. So,

VW = b

XW = b√3

XV = 2b

Since, YV = 24, then XW = 24 and we stated above that XW = b√3. So,

24 = b√3

`(24)/(√(3)) = (b√(3))/(√(3))`

`(24)/(√(3))` = b

`(24)/(√(3))((√(3))/(√(3)))` = b

`(24√(3))/(3)` = b

8√3 = b

We are looking for side YX which is congruent (equal) to VW and we stated above that VW = b, So, VW = 8√3