
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
An isosceles, right triangle has the median length to the hypotenuse as 15 units. Determine the length of each leg of the triangle, in units. Express your answer in simplest radical form.

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