Question

Find the length of the median, UV, in this trapezoid. NO LINKS.

a. 32
b. 19
c. 23
d. 26​

Answer 1

c

Explanation:

The median is half the sum of the parallel bases, that is

UV =
`(BC+AD)/(2)`

3 + 20x =
`(13+31x+2)/(2)` ( multiply both sides by 2 to clear the fraction )

6 + 40x = 15 + 31x ( subtract 31x from both sides )

6 + 9x = 15 ( subtract 6 from both sides )

9x = 9 ( divide both sides by 9 )

x = 1

Then

UV = 3 + 20x = 3 + 20(1) = 3 + 20 = 23 → c