taiwan-gsat 2022 Q8

taiwan-gsat · Other · gsat__math-a 5 marks Sine and Cosine Rules Multi-step composite figure problem

On the coordinate plane, the three vertices of $\triangle A B C$ have coordinates $A ( 0,2 ) , B ( 1,0 ) , C ( 4,1 )$ respectively. Select the correct options.
(1) Among the three sides of $\triangle A B C$, $\overline { A C }$ is the longest
(2) $\sin A < \sin C$
(3) $\triangle A B C$ is an acute triangle
(4) $\sin B = \frac { 7 \sqrt { 2 } } { 10 }$
(5) The circumradius of $\triangle A B C$ is less than 2

On the coordinate plane, the three vertices of $\triangle A B C$ have coordinates $A ( 0,2 ) , B ( 1,0 ) , C ( 4,1 )$ respectively. Select the correct options.\\
(1) Among the three sides of $\triangle A B C$, $\overline { A C }$ is the longest\\
(2) $\sin A < \sin C$\\
(3) $\triangle A B C$ is an acute triangle\\
(4) $\sin B = \frac { 7 \sqrt { 2 } } { 10 }$\\
(5) The circumradius of $\triangle A B C$ is less than 2

Paper Questions

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