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Question
There are two paths that one can choose to go from Sarah’s house to James's house. One way is to take C street, and the other way requires to take B street and then A street. How much shorter is the direct path along C street?
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Solution
Distance between Sarah’s House and James’s House using “C street”.
AC2 = AB2 + BC2
= 22 + 1.52
= 4 + 2.25
= 6.25
AC = `sqrt(6.25)`
AC = 2.5 miles
Distance covered by using “A Street” and “B Street”
= (2 + 1.5) miles
= 3.5 miles
Difference in distance = 3.5 miles – 2.5 miles = 1 mile
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