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# Use vectors to prove that the line joining the midpoints of two sides of a triangle is parallel to the third side and half its length.

## \begin{aligned} \overrightarrow{M N} &=\overrightarrow{M B}+\overrightarrow{B N} \\ &=\frac{1}{2} \overrightarrow{A B}+\frac{1}{2} \overrightarrow{B C} \\ &=\frac{1}{2}(\overrightarrow{A B}+\overrightarrow{B C}) \\ &=\frac{1}{2} \overrightarrow{A C} \end{aligned}

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The problem is useful actors to prove that the line joining the major points of two sides of a triangle is paranormal to the third aside and half its value. First the job of grass of entry angle. Oh, aye. See, he'd our meat points of oil will be respectively. So we need to prove the Wachter City. It's paranormal. Choose elect to be And it's a magnitude tive say he is he going to one half of the magnitude paving now first right, Dr Away to they want It's you, Dr Opie. It's you called too You want into. Then Dr Halsey is equal to one half. They want to like two. What is he going to? One half you want into? So we have like Tio Saiki. It's in the country. Negative, like two will see us back to city. This's the conto half. You want minus one into minus on D block Ter the is the country negative? Class B. This is going to be one minus the one teach you once into. Then we compiled these two actors but be on electricity. We're half is to work to stop. How now? On DH Laugh of Sadie is equal to one half of the sub. It's a laugh of a B

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