Here is what Wikipedia says about the shroud of Turin.
The Shroud of Turin is a length of linen cloth bearing the image of a man who appears to have suffered physical trauma in a manner consistent with crucifixion. There is no consensus yet on exactly how the image was created, and it is believed by many to be the burial shroud of Jesus of Nazareth.
Scientists have studied the shroud and haven’t been able to determine whether or not the image is that of Jesus but there is another way to answer the question. That is to study what the Bible says about what Jesus was buried in and see if it matches the description of the shroud. John’s gospel give us the information we need.