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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”.

AC^{2} = AB^{2} + BC^{2}

= 2^{2} + 1.5^{2}

= 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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