Chapter 10 - Radical Expressions and Equations - 10-1 The Pythagorean Theorem - Apply What You've Learned - Page 618: a

300 yds

Use the pythagorean theorem: $50^{2}+240^{2}=c^{2}$ Solve for c: $c = 245$ Next; $75^{2}+100^{2}=c^{2}$ Solving this; $c = 125$ Add all the values and compare each value, we find that the shorter path is: shorter path = 300