gaokao 2010 Q18

gaokao · China · shanghai-arts Sine and Cosine Rules Find an angle using the cosine rule
18. If the three interior angles of $\triangle A B C$ satisfy $\sin A : \sin B : \sin C = 5 : 11 : 13$ , then $\triangle A B C$
A. must be an acute triangle
B. must be a right triangle
C. must be an obtuse triangle
D. could be either an acute triangle or an obtuse triangle
III. Solution Problems (Total Score: 74 points)
(10 points) As shown in the figure, the base of the quadrangular pyramid $P - ABCD$ is an isosceles trapezoid with $AB \parallel CD$, $AC \perp BD$, and the perpendicular foot is $H$. $PH$ is the height of the pyramid.
18. If the three interior angles of $\triangle A B C$ satisfy $\sin A : \sin B : \sin C = 5 : 11 : 13$ , then $\triangle A B C$\\
A. must be an acute triangle\\
B. must be a right triangle\\
C. must be an obtuse triangle\\
D. could be either an acute triangle or an obtuse triangle

\section*{III. Solution Problems (Total Score: 74 points)}