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Question Number 17692 by b.e.h.i.8.3.417@gmail.com last updated on 09/Jul/17

Answered by Tinkutara last updated on 09/Jul/17

Commented by b.e.h.i.8.3.417@gmail.com last updated on 09/Jul/17

$$thankssir.niceandsmart.$$

Commented by Tinkutara last updated on 09/Jul/17

$$E\mathrm{and}F\mathrm{are}\mathrm{the}\mathrm{midpoints}\mathrm{of}\mathrm{sides}$$$$AB\mathrm{and}AC.$$$$\therefore EF\parallel BC\mathrm{and}EF=\frac{BC}{2}....\left(i\right)$$$$\mathrm{Similarly}M\mathrm{and}N\mathrm{are}\mathrm{the}\mathrm{midpoints}\mathrm{of}$$$$\mathrm{sides}DE\mathrm{and}DF.$$$$\therefore MN\parallel EF\mathrm{and}MN=\frac{EF}{2}....\left(ii\right)$$$$\mathrm{From}\left(i\right)\mathrm{and}\left(ii\right),\mathrm{we}\mathrm{get}$$$$MN\parallel BC\mathrm{and}MN=\frac{BC}{4}.$$

Commented by alex041103 last updated on 09/Jul/17

$$\mathrm{Beautiful}!$$

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