Jackson is 54 mikes east of Lazy River Resort. Ontario is 31 mikes south of Jackson. A land developer prioress building a shortcut to directly connect Ontario and Lazy River. Show calculations

That shortcut would be a diagonal route. The horiz. leg would be 54 miles; the vertical one would be 31 miles. Using the Pythagorean Theorem, we get distance d = sqrt (31^2 + 54^2) = sqrt (3877) = 62.3 miles.

If you use the pythagorean theorem a^2+b^2=c^2, it would look like this.

54^2+31^2=c^2

2916+961=c^2

3877=c^2

√3877=c

c≈62.2656