SOLUTION: The drawing shows trapezoid ABCD with AB ∥ DC; also, M and N are midpoints of AD and BC. Given:MN = 6.5 and DC = 7.7 Find:AB

Algebra ->  Formulas -> SOLUTION: The drawing shows trapezoid ABCD with AB ∥ DC; also, M and N are midpoints of AD and BC. Given:MN = 6.5 and DC = 7.7 Find:AB      Log On


   



Question 1193154: The drawing shows trapezoid ABCD with
AB ∥ DC;
also, M and N are midpoints of
AD and BC.
Given:MN = 6.5 and DC = 7.7
Find:AB

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

since M+and N are midpoints of AD+and BC, than MN is midline+
recall: In a trapezoid, a midline (or a midsegment) is the line joining the midpoints of the sides. In a trapezoid, the midline is parallel to the bases and its length is half+their+sum.
MN+=%28AB%2BDC%29%2F2......substitute given
6.5+=%28AB%2B7.7%29%2F2
6.5%2A2+=AB%2B7.7
13-7.7=AB
AB=5.3