Abstract: Many researches demonstrate that triangle inequality violation (TIV) is a universal phenomenon in the Internet delay space, which is the result of routing inefficiency. However, there are still no investigations on the TIVs position and its relationship with the access delay. Firstly, the Internet is divided into two parts: access network and core network, by different definitions. A delay model of the Internet delay space is proposed to analyze the TIVs position. Based on this model, it is found that TIV appears in the core of the Internet rather than the access networks and the access delay can reduce the TIV number and alleviate the TIVs severity. Then, a series of experiments are carried out on the PlanetLab to measure the end-to-end delay matrix and its corresponding topology. Afterwards, a TIV searching algorithm ScoutTIV is designed to count the TIV number in the measurement dataset by different definitions of edges between the access network and core network. In the experiments, the datasets are divided into three small datasets based on the country attributes of hosts and one random dataset. The experimental results on different datasets accord with our conclusion, which can help network coordinate systems to achieve better prediction accuracy.