
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
A triangle has side lengths of  $x,75,100$  where  $x<75$  and altitudes of lengths  $y,28,60$  where  $y<28$ . What is the value of  $x+y$ ?

*2019 CCA Math Bonanza Team Round #2*

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