
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
What is the radius of a circle inscribed in a rhombus if one diagonal has been increased by 50% totaling 15, and the other diagonal remains the same size as 24?
A) 4
B) $\frac{58}{13}$
C) $\frac{60}{13}$
D) 5
E) $\frac{60.07}{13}$

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