Although this archeological find relates to Pythagorean Triples, my take is that one of the most basic concepts in carpentry, the "3-4-5" rule for finding right angles, which is described by Euclid and is certainly related to the Pythagorean theorum, now would logically seem to have been used much earlier. The 3-4-5 rule holds that a right angle is deduced by marking 3 equal units on the x axis, then drawing a wide arc of 4 of the same units somewhat orthogonally (appearing to go both plus and minus) from point 0 of the x axis, then marking the point from the top of the x axis to the point on the arc at which the gap is exactly 5 of the same units. The result is a right angle. By using a plumb bob to create a vertical x axis in the first place, the resulting y axis is thus horizontal. The 3-4-5 rule is and was essential in structural work, so I'm suggesting that meaningful contributions to architecture and other pursuits were made using the 3-4-5 rule long before the use of trigonometry as we know it from Pythagorus, so any move of the Pythagorean Triples timeframe would thus apply to the timeframe of the 3-4-5 rule. I hope someone will correct any errors/delusions in my summary.