Question

answer this....
find AB if
DC=20cm and
MN=27cm

Answer 1

A line segment which joins mid points of two leg of trapezoid is called midline or mid segment. Theorem: According to this theorem mid segment of a trapezoid is equal to half of sum of its two parallel sides. In triangle ABC M is mid point of AB and P is midpoint of AC
Therefore MN=1/2(AB+CD)
MN = 27 cm ,DC=20cm
Therefore 27=1/2(AB+20)
27*2=AB+20
54=AB +20
AB=54-20
AB=34