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Chapter 5: Q31 (page 194)

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

Prove that EF=12AB鈭�DC.

Short Answer

Expert verified

Therefore, EF=12AB鈭�DC.

Step by step solution

01

Step 1. Check the figure.

Consider the figure.

02

Step 2. Step description.

Since MN is a median therefore

ME=12DC1MF=12AB2

03

Step 3. Step description.

From the equation (1) and (2) as follows:

EF=MF鈭�MEEF=12AB鈭�12DCEF=12AB鈭�DC

Therefore, EF=12AB鈭�DC.

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