## Algebra 1: Common Core (15th Edition)

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