iran-konkur 2016 Q128

iran-konkur · Other · konkur-riazi_1395_specialized Not Maths
128. In triangle $ABC$, $\hat{A} > \hat{C}$. $B$ is the angle bisector of angle $B$ and the perpendicular bisector of side $AB$ intersect at point $D$. $M$ and $N$ are the feet of the perpendiculars from $D$ to $BA$ and $BC$ respectively. Which of the following is correct?
(1) $NC > NB$ (2) $NC < NB$ (3) $DA > DC$ (4) $AM < BN$
\textbf{128.} In triangle $ABC$, $\hat{A} > \hat{C}$. $B$ is the angle bisector of angle $B$ and the perpendicular bisector of side $AB$ intersect at point $D$. $M$ and $N$ are the feet of the perpendiculars from $D$ to $BA$ and $BC$ respectively. Which of the following is correct?

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(1) $NC > NB$ \hfill (2) $NC < NB$ \hfill (3) $DA > DC$ \hfill (4) $AM < BN$

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