SOLUTION: The drawing shows trapezoid ABCD with AB||DC; also, M and N are midpoints of AD and BC, respectively. Given: AB = 8.2 and MN = 9.5 Find: DC

Algebra ->  Pythagorean-theorem -> SOLUTION: The drawing shows trapezoid ABCD with AB||DC; also, M and N are midpoints of AD and BC, respectively. Given: AB = 8.2 and MN = 9.5 Find: DC      Log On


   

Question 851849: The drawing shows trapezoid ABCD with AB||DC; also, M and N are midpoints of AD and BC, respectively.
Given: AB = 8.2 and MN = 9.5
Find: DC
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
The mid-segment of a trapezoid is the line segment connecting
the midpoints of the two non-parallel sides.  Its length is 
equal to the average of the length of the bases.  So

%28AB%2BDC%29%2F2%22%22=%22%22MN

%288.2%2BDC%29%2F2%22%22=%22%229.5

Multiply both sides by 2 to clear of fractions.

8.2%2BDC%22%22=%22%2219

Subtract 8.2 from both sides:

DC%22%22=%22%2210.8

Edwin