gaokao 2018 Q9

gaokao · China · national-III-science 5 marks Sine and Cosine Rules Determine an angle or side from a trigonometric identity/equation
In $\triangle ABC$, the sides opposite to angles $A, B, C$ are $a, b, c$ respectively. If the area of $\triangle ABC$ equals $\frac { a ^ { 2 } + b ^ { 2 } - c ^ { 2 } } { 4 }$, then $C =$
A. $\frac { \pi } { 2 }$
B. $\frac { \pi } { 3 }$
C. $\frac { \pi } { 4 }$
D. $\frac { \pi } { 6 }$
In $\triangle ABC$, the sides opposite to angles $A, B, C$ are $a, b, c$ respectively. If the area of $\triangle ABC$ equals $\frac { a ^ { 2 } + b ^ { 2 } - c ^ { 2 } } { 4 }$, then $C =$\\
A. $\frac { \pi } { 2 }$\\
B. $\frac { \pi } { 3 }$\\
C. $\frac { \pi } { 4 }$\\
D. $\frac { \pi } { 6 }$