iran-konkur 2020 Q132

iran-konkur · Other · konkur-riazi_1399_specialized_old-curriculum Circles Inscribed/Circumscribed Circle Computations
132- Which of the following quadrilaterals can be inscribed in a circle with diameter $(x+2)$?
[Figure: Trapezoid with sides labeled x, y, 4, 9 and angle $60^\circ$]
  • [(1)] $\sqrt{51}$
  • [(2)] $\sqrt{55}$
  • [(3)] $\sqrt{57}$
  • [(4)] $\sqrt{59}$
\textbf{132-} Which of the following quadrilaterals can be inscribed in a circle with diameter $(x+2)$?

\textit{[Figure: Trapezoid with sides labeled x, y, 4, 9 and angle $60^\circ$]}

\begin{itemize}
    \item[(1)] $\sqrt{51}$
    \item[(2)] $\sqrt{55}$
    \item[(3)] $\sqrt{57}$
    \item[(4)] $\sqrt{59}$
\end{itemize}