
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 a forest shaped like an isosceles triangle, Ivo and Petr camped at one of its vertices. There was a spring in the middle of the opposite side. The boys decided to reach it by walking along the perimeter of the forest. Each went in a different direction, but both at a speed of $4 \mathrm{~km} / \mathrm{h}$. Ivo reached the spring in 15 minutes, and Petr in 12 minutes. What were the lengths of the sides of the triangular forest? (Round the side lengths to whole meters.)

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