How do I use Pythagorean Theorem to find out if a triangle has a right angle

Arrange these numbers from least to greatest 3/5 5/7 2/9

Can (3,5 and square root 34) be sides on a right triangle?

Cassie is traveling 675 miles today to visit her brother and his family. so far, she has stopped for gas three times. at the first stop, she put in 7.1 gallons of gas and paid $23.79. at her second stop, she put in 5.8 gallons of gas and paid $19.08. and, at the third stop, 6.6 gallons and paid $20.39. at which stop did casey pay the most for gas?