Question

rectangle ABCD shown below with dimensions given in units.what is AC in units?A) 8√3B) 12√3C) 12√2D) 24

Answer 1

`\begin{gathered} \text{ We have that } \\ \sin 60=(12)/(x) \\ \text{thus } \\ x\cdot\sin (60)=12 \\ x=(12)/(\sin (60)) \\ x=\frac{12}{\frac{\sqrt[]{3}}{2}} \\ \\ x=\frac{24}{\sqrt[]{3}}\text{ , multiplying up the numerator and denominator by }\sqrt[]{3} \\ x=\frac{24\sqrt[]{3}}{3} \\ \\ x=8\sqrt[]{3} \end{gathered}`