
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 trapezoid has an equilateral triangle inscribed within it such that one side of the triangle coincides with the smaller base of the trapezoid. If the larger base of the trapezoid is twice the length of a diagonal in the inscribed equilateral triangle, what is the ratio of the smaller base to the larger base of the trapezoid?
A) $\frac{1}{2}$
B) $\frac{2}{3}$
C) $\frac{3}{4}$
D) $\frac{1}{3}$
E) $\frac{3}{5}$

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