Wavelength and destructive interference

AI Thread Summary
The discussion revolves around calculating the wavelength of sound waves produced by two speakers, with specific distances provided for a point of interest. The speakers create regions of constructive and destructive interference, and the user is attempting to apply the Pythagorean theorem to find the path length difference (PLD) between the speakers. The velocity of sound is assumed to be 343 m/s, and the relationship v = f*lambda is referenced for calculating the wavelength. The user's initial approach using the Pythagorean theorem did not yield the expected results. Clarification on the correct method to determine the wavelength is sought.
boogiepicker
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Homework Statement



In the figure the two speakers are producing identical sound
waves. The solid lines represent constructive interference regions and the dashed lines represent destructive interference regions. The point labeled 1 is 662.15 m from the bottom speaker
and 742.9 m from the top speaker.

What is the wavelength of the sound waves


Homework Equations


v = f*lambda?, assuming v = 343 m/s
Pythagorean I believe has to be used but I'm not sure


The Attempt at a Solution


Attempted Pyth. to find distance between speakers, thinking this would be the PLD and then I'd be able to find the wavelength from there. This did not work.

Here's a picture:
 
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only way I could get correct image on here is via attachment
 

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