Question

Find the value of x.

Answer 1

Answer:

25

Step-by-step explanation:

The median of a trapezoid equals one half of the sum of the bases

AC is a median and EB and DF are the bases.

hence AC = 1/2(EB + DF)

We are given that EB = 13 and that AC = 19. And we need to find DF

To do so we plug in what we are given and solve for DF

AC = 1/2(EB + DF)

AC = 19, EB = 13

19 = 1/2(13 + DF)

Now solve for DF

* Multiply both sides by 2*

19 * 2 = 38

1/2(13 + DF) * 2 ( the 1/2 and 2 cancel out and we're left with 13 + DF )

We then have 38 = 13 + DF

* Subtract 13 from both sides *

38 - 13 = 13 - 13 + DF

We get that DF = 25