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Elena jogs 7 kilometers west and then 5 kilometers down south. She stops and checks her time. How far is she from her starting point?

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This looks like a problem for Pythagoras.

a^2 + b^2 = c^2
7^2 + 5^2 = c^2
49 + 25 = c^2
74 = c^2
8.6 km = c

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