
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 the equations of the sides of $\triangle ABC$: AB: $3x-2y+6=0$, AC: $2x+3y-22=0$, BC: $3x+4y-m=0$.
(1) Determine the shape of the triangle;
(2) When the height from BC is 1, find the value of $m$.

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