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You start driving north for 8 miles, turn right, and drive east for another 6 miles. At the end of driving, what is your straight line distance from your starting point?

 Feb 12, 2020
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Use the Pythagorean Theorem: \(\sqrt{6^2+8^2}=10\).

 

So your straight line distance is 10.

 

We can also recognize this as a multiple of the 3-4-5 Pythagorean triple. We have \(\frac{3}{6}=\frac{4}{8}=\frac{5}{x}\) , with x being the desired value. Therefore x=10, like previously.

 Feb 12, 2020

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