Solving Right Triangles: Pythagorean Theorem, Trigonometry Practice Test

In right triangle $\triangle ABC$, $\angle C = 90^\circ$. If $AC = 8$ and $AB = 17$ (hypotenuse), what is the exact value of $\sin(\angle A)$?

In right triangle $\triangle ABC$, $\angle C = 90^\circ$. The legs are $AC = 9$ cm and $BC = 12$ cm, and the hypotenuse is $AB = c$. What is the exact length of side $AB$?