Answer:
The distance from Durham to Fuquay-Varina is 30 miles.
Step-by-step explanation:
Given that the cities of Raleigh, Durham, and Fuquay-Varina approximate a right triangle, and the distance from Raleigh to Durham is 24 miles, while the distance from Raleigh to Fuquay-Varina is 18 miles, to determine what is the distance from Durham to Fuquay-Varina, the following calculation must be performed, applying the Pythagorean theorem:
18 ^ 2 + 24 ^ 2 = X ^ 2
324 + 576 = X ^ 2
√ 900 = X
30 = X
Therefore, the distance from Durham to Fuquay-Varina is 30 miles.
