Final answer:
Texas is the state that has the Rio Grande, Pecos River, and Canadian River. These rivers played a role in the historical boundary dispute with Mexico, leading to the Mexican-American War.
Step-by-step explanation:
The state that has the Rio Grande, Pecos River, and Canadian River is Texas. The history of Texas' borders involves significant tensions with Mexico after the United States annexed Texas in 1845. The U.S. and Mexico disputed whether the correct boundary was the Nueces River or the Rio Grande, with the U.S. claiming the latter. This boundary dispute and the expansionistic fervor of the United States led to the Mexican-American War from 1846 to 1848, emphasizing the U.S.'s desire to expand its territory into what was then northern Mexico.