iran-konkur 2020 Q128

iran-konkur · Other · konkur-riazi_1399_specialized_old-curriculum Not Maths
128. In the figure opposite, what is the length of segment $AD$?
[Figure: Triangle with vertex A at top, B at bottom left, D at bottom right, with point C on BD and internal cevian of length 7 from A, sides labeled 9 and 4, 5]
  • [(1)] 9
  • [(2)] $3\sqrt{10}$
  • [(3)] 10
  • [(4)] $6\sqrt{3}$
\textbf{128.} In the figure opposite, what is the length of segment $AD$?

\textit{[Figure: Triangle with vertex A at top, B at bottom left, D at bottom right, with point C on BD and internal cevian of length 7 from A, sides labeled 9 and 4, 5]}

\begin{itemize}
    \item[(1)] 9
    \item[(2)] $3\sqrt{10}$
    \item[(3)] 10
    \item[(4)] $6\sqrt{3}$
\end{itemize}