To find the length of segment BC, we can use the property that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length.
Given:
Length of segment AD = 28 cm
Distance between midpoints of AB and CD (M and N) = 16 cm
First, let's find the length of segment MN. Since M and N are the midpoints of AB and CD respectively, we know that MN is parallel to BC and half its length.
Length of segment MN = 16 cm
Now, let's find the length of segment BC. Since MN is parallel to BC and half its length, and M and N are midpoints of AB and CD respectively, BC must be twice the length of MN.
Length of segment BC = 2 * Length of segment MN
Length of segment BC = 2 * 16 cm
Length of segment BC = 32 cm
Therefore, the length of segment BC is 32 cm.