EF is a median of trapezoid ABCD. The length of AB is 12, and the length of CD is 18.
What is the length of EF?
You do: (12+18)/2 :)
EF is a median of trapezoid ABCD. What is the value of x?
Figure it out
cd
To find the length of EF, we need to understand the properties of a trapezoid. A trapezoid is a quadrilateral with exactly one pair of parallel sides. In this case, AD and BC are the parallel sides of trapezoid ABCD.
A median of a trapezoid is a line segment that connects the midpoints of the non-parallel sides. In this case, EF is a median of trapezoid ABCD, connecting the midpoints of AB and CD.
Since EF is a median, it can be proven that EF is parallel to AD and BC and that it is equal to the average of the lengths of AB and CD.
To find the length of EF, we can use the formula:
EF = (AB + CD) / 2
Substituting the given values:
EF = (12 + 18) / 2
EF = 30 / 2
EF = 15
Therefore, the length of EF is 15 units.