Pythagorean theorem word problems

Answer:
40km closer
Step-by-step explanation:
Following the Pythagoras' Theorem,
65² + x² = 97²
x² = 97² - 65²
∴ x = 72
Distance between Aurora and Clifton directly
= 97km
Distance between Aurora and Clifton through Burlington
= 65 + 72
= 137km
Difference in the two distances
= 137 - 97
= 40km