
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given triangle $ABC$ with internal angles $A$, $B$, $C$ and corresponding sides $a$, $b$, $c$. Given that $A < \frac{\pi}{2}$ and $\sin(A - \frac{\pi}{4}) = \frac{\sqrt{2}}{10}$.
(1) Find the value of $\sin A$;
(2) If the area of triangle $ABC$ is $s = 24$, and $b = 10$, find the value of $a$.

Present the answer in LaTex format: \boxed{Your answer}
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