First piece = 43 cm.
First piece is 5 cm longer than the second piece.

• Second piece = First − 5 = 43 − 5 = 38 cm
• Third piece is 9 cm shorter than the second piece.
• Third piece = Second − 9 = 38 − 9 = 29 cm

The length of the third piece is 29 cm.
Check: First 43, Second 38, Third 29. Gap 1 = 5, Gap 2 = 9. ✓