# Algebra

If Tom Bombadil's house is 12 miles east of Hobbiton and 16 miles south, what is the straight line distance (omit units)

Where do I start ?

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1. Put Hobbinton at the origin (0,0) on the x-y grid
then Tom's house would be (12,-16)
distance from (0,0) to (12,-16)
= √(12^2 + (-16)^2)
= √400
= 20

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posted by Reiny

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