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Nesterboy [21]
2 years ago
8

ABDC is a trapezoid. Line AB = 2.5, and Line EF = 4.5. What is the length of Line CD ?

Mathematics
2 answers:
Darina [25.2K]2 years ago
6 0
The line CD is the median of thre trapezoid, therefore its measures is shown below:
 You must sum the largest base and the shortest base and divide both of them by 2, as following:
 CD=(4.5+2.5)/2
 CD=7/2
 CD=3.5
 Therefore, as you can see, the measure of the line CD is 3.5
 The answer is: 3.5
mezya [45]2 years ago
5 0
The correct answer is 3.5

A trapezoid is a 4-sided flat shape with straight sides. This shape has a pair of opposite sides parallel. So according to the figure we know the following:

\overline{AC}=\overline{CE}

And it is also true that:

\overline{BD}=\overline{EF}

We know that the lengths of the parallel sides are given by:

\overline{AB}=2.5 \\ \\ \overline{EF}=4.5

So the goal is to find the length of Line CD. This line is in fact the <em>median</em> of the trapezoid <span>(also called a midline or midsegment) that is a line segment half-way between the two bases and it can be found as follows:
</span>
m=\frac{\overline{AB}+\overline{EF}}{2}=\frac{2.5+4.5}{2}=\frac{7}{2} \\ \\ \therefore \boxed{\overline{CD}=m=3.5}
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