
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 altitude $m$ of the equal sides of an isosceles triangle and the length $h$ of the chord of the inscribed circle that connects the points of tangency with the equal sides, construct the triangle. Calculate the sides, area, and the radii of the inscribed and circumscribed circles of the triangle.

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