The structure of Te-rich (75-80at.% Te) and Te-poor (40at.% Te) Ge-As-Te glasses has been investigated by diffraction and extended X-ray absorption fine structure (EXAFS) measurements. Large-scale structural models have been created by fitting simultaneously diffraction and EXAFS datasets by the reverse Monte Carlo simulation technique. It is found that As-As bonds improve the fit quality in the case of Te-rich glasses while no Ge-Ge bonding is necessary in these compositions. In the Te-poor glasses, Te-Te homopolar bonds are also observed while Ge binds preferentially to Te rather than to As. Ge-As and Ge-Te coordination numbers do not change significantly with increasing Ge content.