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Chapter 5: Q30 (page 194)

For the following figure, given that ABCDis a trapezoid with median MN炉.

If DC=6,AB=16then find ME,FN,EF.

Short Answer

Expert verified

The values are ME=3,FN=3,EF=5.

Step by step solution

01

Step 1. Check the figure.

Consider the figure.

02

Step 2. Step description.

Since MNis a median therefore

ME=12DCME=12脳6ME=3FN=12DCFN=12脳6FN=3

03

Step 3. Step description.

As from the figure, EF=12AB鈭�DC.

Substitute the values in the formula as follows:

EF=12AB鈭�DCEF=1216鈭�6EF=5

Therefore, the values are ME=3,FN=3,EF=5.

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