Given the diagram below, what is the length of segment EF?

Mathematics

2 answers:

grigory [225]3 years ago

8 0

Answer:

D) 5

Step-by-step explanation:

This is the median of the trapezoid. It is the line segment that connects the midpoints of the non-parallel sides of the trapezoid.

The length of the median of a trapezoid is equal to 1/2 the sum of the bases; this makes ours

1/2(3.3+6.7) = 1/2(10) = 5

labwork [276]3 years ago

6 0

Answer: D. 5

Step-by-step explanation:

In the given figure , we have give a trapezioid ABCD with parallel sides BC= 3.3 units and AD= 6.7 units.

Also, E and F appears as the mid points of non parallel sides AB and CD and parallel to the bases BC and AD.

⇒ EF would be the median of trapezioid ABCD.

Also, we know that , the length of the median of a trapezoid equals to one-half the sum of the lengths of the two bases.

i.e. length of EF = $\dfrac{1}{2}(AD+BC)$

i.e. length of EF = $\dfrac{1}{2}(6.7+3.3)$

i.e. length of EF = $\dfrac{1}{2}(10)$

i.e. length of EF = 5 units.

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