In $ riangle A B C$, if $D$ and $E$ are the mid-points of the sides $B C$ and $C A$ respectively, then $2(\mathbf{A D}+\mathbf{E B})=$

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In $	riangle A B C$, if $D$ and $E$ are the mid-points of the sides $B C$ and $C A$ respectively, then $2(\mathbf{A D}+\mathbf{E B})=$

Aicharya · Accepted Answer

On adding Eqs. (i) and (ii), we get $ \begin{aligned} \mathbf{A D}+\mathbf{E B} & =\frac{3}{2} \mathbf{A C}+\frac{3}{2} \mathbf{C B} \\ & =\frac{3}{2}(\mathbf{A C}+\mathbf{C B})=\frac{3}{2} \mathbf{A B} \\ \Rightarrow 2(\mathbf{A D}+\mathbf{E B}) & =3 \mathbf{A B} \end{aligned} $

In $\triangle A B C$, if $D$ and $E$ are the mid-points of the sides $B C$ and $C A$ respectively, then…

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