Let $z$ be a complex number that satisfies
\[|z - 3i| + |z - 4| = 5.\]Find the minimum value of $|z|.$
Question:
Let $z$ be a complex number that satisfies
\[|z - 3i| + |z - 4| = 5.\]Find the minimum value of $|z|.$
Answer:
Let's think step by step.

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\frac{12}{5}
Let $z$ be a complex number that satisfies
\[|z - 3i| + |z - 4| = 5.\]Find the minimum value of $|z|.$
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