
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 $10$, $15$, and $20$. Define the sequence $T_n$ such that for $T_n = \Delta ABC$, the midpoints $M$, $N$, and $P$ of the sides $AB$, $BC$, and $CA$, respectively, give rise to $T_{n+1}$, which is a triangle with side lengths $AM$, $BN$, and $CP$. What is the perimeter of $T_2$?
A) 21.5
B) 22
C) 22.5
D) 23
E) 23.5

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