# Rhombus

ABCD is a rhombus, ABD is an equilateral triangle and AC is equal to 4. Find the area of the rhombus.

Result

S =  4.619

#### Solution:

$S=(4 \cdot \ \tan( 30 ^\circ \rightarrow\ \text{rad})) \cdot \ 4/2=(4 \cdot \ \tan( 30 ^\circ \cdot \ \dfrac{ \pi }{ 180 } \ )) \cdot \ 4/2=(4 \cdot \ \tan( 30 ^\circ \cdot \ \dfrac{ 3.1415926 }{ 180 } \ )) \cdot \ 4/2=0=4.619$

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