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# Consider the diagram below, with , as well as and ​ :

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Consider the diagram below, with $$\angle ABC = \angle ACD = \angle DEA = 90^{\circ}$$ , as well as $$AB = 12, BC = 9, AD = 25$$ and $$AE=24$$ :

What are

$$\sin(\angle BAC), \sin(\angle BAD), \sin(\angle CAE),$$

in that order?

Apr 2, 2022