The figure shows an example for Step 1 in the proof of the lemma preceding the Side-Splitt...

The figure shows an example for Step 1 in the proof of the lemma preceding the Side-Splitting Theorem, where successive bisections are performed. Here, AB = 45, , and EG = 1. How many times must segments be bisected for one of the midpoints P to fall on ? (Hint: This is strictly a calculator problem, not requiring much geometric reasoning.)