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Area of a rhombus

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Calculate the area, perimeter, and vertex angles of a rhombus based on the lengths of its diagonals.
Diagonal a
Diagonal b
Area S 
Perimeter L 
Vertex angle θa degrees
Vertex angle θb degrees
\(\normalsize Rhombus \\ (1)\ area:\hspace{65px} S= {\large\frac{ab}{2}}\\ (2)\ perimeter:\hspace{20px} L=2\sqrt{a^2+b^2}\\ (3)\ peak\ angles:\ \theta_a=2tan^{\small -1}({\large\frac{b}{a}})\\ \hspace{126px}\theta_b=2tan^{\small -1}({\large\frac{a}{b}})\\\)

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Area of a rhombus | Keisan