As shown in the diagram, NM is the median of trapezoid ABCD and PQ is the median of trapezoid ABMN. We know AB = 5 and DC = 19. Find PQ.
PQ = 26/7.
NM = (1/2) ( DC + AB) = (1/2) ( 5 + 19) = (1/2) (24) = 12
PQ = (1/2) ( NM + AB) = (1/2) ( 12 + 5) = (1/2) (17) = 17 / 2 = 8.5
