Their languages happened belong to the the altaic or Turkic group. As matter of fact, there are evidence discovered last year that original Turkic people used to live in some area of Northeast China or Manchuria, and the Turkic languages of the countries originated in Northeast China. Korea is just next to Northeast China, people from there migrated to Korea. Besides, Koreans look very much like Chinese esp Norther Chinese, Koreans dont have much resemblance of mordern day so called Turks in Turkey, what is the evidence that they are the same prople except their languages are classified in the same Turkic group. There were also waves of Chinese migrated from interior China to the Korean penInsula in the past few thousands years as recorded in Chinese history.