Given:MN = 6.1 and DC = 7.7 Find:AB

Question

The drawing shows trapezoid ABCD with AB ∥ DC;  also, M and N are midpoints of AD and BC

 respectively.

Trapezoid A B C D has four labeled vertices, two labeled points, and a line segment.

1. The top side is horizontal, starts at vertex A on the left and ends at vertex B on the right.
2. The right side starts at vertex B, goes down and to the right and ends at vertex C.
3. The bottom side is horizontal, starts at vertex C on the right and ends at vertex D on the left.
4. The left side starts at vertex D, goes up and to the right and ends at vertex A.
5. Point M is on side A D and point N is on side B C.
6. A horizontal line segment connects point M to point N.

Given:MN = 6.1 and DC = 7.7

Find:AB

Answer 1

MN = (0.5)(AB + DC)

6.1 = (0.5)(AB + 7.7)