
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 real numbers $a$ and $b$ representing the lengths of the sides of a right triangle with hypotenuse $c$, under what conditions is $\sqrt{a^2+b^2}=a+b$ true in terms of angle $\theta$ opposite the side $a$?
A) $\theta = 0^\circ$
B) $\theta = 45^\circ$
C) $\theta = 90^\circ$
D) Any value of $\theta$

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