gaokao 2023 Q11

gaokao · China · national-A-science 5 marks Sine and Cosine Rules Compute area of a triangle or related figure
In the quadrangular pyramid $P - ABCD$ , the base $ABCD$ is a square with $AB = 4$ , $PC = PD = 3$ , $\angle PCA = 45^{\circ}$ , then the area of $\triangle PBC$ is
A. $2\sqrt{2}$
B. $3\sqrt{2}$
C. $4\sqrt{2}$
D. $5\sqrt{2}$
In the quadrangular pyramid $P - ABCD$ , the base $ABCD$ is a square with $AB = 4$ , $PC = PD = 3$ , $\angle PCA = 45^{\circ}$ , then the area of $\triangle PBC$ is

A. $2\sqrt{2}$

B. $3\sqrt{2}$

C. $4\sqrt{2}$

D. $5\sqrt{2}$