
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
Let $T_1$ be a triangle with side lengths 101, 102, and 103. For $n \geq 1$, if $T_n = \Delta ABC$, and $M$, $N$, and $P$ are the midpoints of sides $AB$, $BC$, and $AC$ respectively, then $T_{n+1}$ is a triangle with side lengths $AM$, $BN$, and $CP$. Determine the perimeter of $T_{n+1}$ for $n=2$.
A) $76$
B) $76.5$
C) $77$
D) $77.5$

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