The area of right triangle $ABC$ is 4, and the hypotenuse $\overline{AB}$ is 12.  Compute $\sin 2A.$
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<|im_start|>user
The area of right triangle $ABC$ is 4, and the hypotenuse $\overline{AB}$ is 12.  Compute $\sin 2A.$
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<|im_start|>assistant

user
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The area of right triangle $ABC$ is 4, and the hypotenuse $\overline{AB}$ is 12.  Compute $\sin 2A.$
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