19. A cross section of a water trough is in the shape of trapezoid with bases measuring 4 m and 12 m. what is the length of the
median of the trapezoid?
4
B. 6
C.8
D. 10​

Answer :

Given:

The bases of trapezoid measuring 4 m and 12 m.

To find:

The median of the trapezoid.

Solution:

The median of the trapezoid is the average of its bases.

[tex]\text{Median}=\dfrac{\text{Upper base + Lower base}}{2}[/tex]

The bases of trapezoid measuring 4 m and 12 m. So, the median of the trapezoid is:

[tex]\text{Median}=\dfrac{4+12}{2}[/tex]

[tex]\text{Median}=\dfrac{16}{2}[/tex]

[tex]\text{Median}=8[/tex]

Therefore, the correct option is C.

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