SOLUTION: If I walk 1/2 mile north and 1 1/2 mile east how many miles can I walk back with taking two miles to return. I need to know the shorter distance back to my main starting point.

Question 169528: If I walk 1/2 mile north and 1 1/2 mile east how many miles can I walk back with taking two miles to return. I need to know the shorter distance back to my main starting point.
Found 2 solutions by Mathtut, cloudstrifeo0o:
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
if you looking for the shortest root back you have the distance of 2 legs of a right triangle the shortest distance back is the hypothenuse
so

which is the shortest distance to your starting point
Answer by cloudstrifeo0o(5) (Show Source): You can put this solution on YOUR website!
Well, First lets use the Theorem: a^2 + b^2 = c^2
You walked 1/2 mi. North, and 1 1/2 mi. East.
.5^2 + 1.5^2 = c^2 Work out the squares.
.25 + 2.25 = c^2 Add.
2.5 = c^2 Now square root.
sqrt2.5 = sqrtc^2
1.58113883... or 1.6 = c
From what I could understand from you question, that would be your distance.
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