
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
Isosceles triangles $T$ and $T'$ are not congruent but have the same area and the same perimeter. Triangle $T$ has side lengths $6$, $6$, and $10$, while those of $T'$ remain unknown with lengths $a$, $a$, and $b$. Which of the following numbers is closest to $b$?
A) 2
B) 4
C) 6
D) 8
E) 10

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