
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
In an isosceles triangle, if the product of the squared lengths of the two congruent sides is four times the product of the square of its base and its height, what is the measure, in degrees, of the acute base angle of the triangle?
A) $\cos^{-1} \left(\frac{1}{8}\right)$
B) $\cos^{-1} \left(\frac{1}{4}\right)$
C) $\cos^{-1} \left(\frac{1}{2}\right)$
D) $\cos^{-1} \left(\frac{3}{4}\right)$

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