Multiple choice

In a trapezoid, the lengths of the two parallel sides are 12 units and 20 units. If one of the oblique sides has length 6 units, then the length of the other oblique side must be

  1. greater than 3 units but less than 4 units

  2. greater than 2 units but less than 10 units

  3. less than or equal to 2 units

  4. greater than 12 units but less than 20 units

  5. greater than 10 units
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The length of the side asked for will be maximum if the other side (6 units) is perpendicular to either of the 2 parallel sides. In this case, its length becomes 10 units. This side will be the shortest if the other 2 parallel sides are as close to each other as is feasible. In this case, the length of the side has to be greater than (20 - 12 - 6)  2 units.

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