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Pythogrean theorem (URGENT)

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My neighborhood is full of one-way streets. To drive from my house to the grocery store, I have to go 1 block south, then 1 block east, then 5 blocks north, then 2 blocks east. Each block is  of a mile. How much shorter would my trip be if I could fly like a bird (that is, travel in a straight line)?

Jan 11, 2019

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Your current route is 1 + 1 + 5 + 2 = 9 miles

your NET displacement from the origin (your house ) is 3 miles east  and 4 miles north

using pythag theorem, your shortest route would be     sqrt (3^2 + 4^2) = 5

9 miles - 5 miles = 4miles shorter if you could travel 'as the crow flies'

Jan 11, 2019

#1
+23557
0

Your current route is 1 + 1 + 5 + 2 = 9 miles

your NET displacement from the origin (your house ) is 3 miles east  and 4 miles north

using pythag theorem, your shortest route would be     sqrt (3^2 + 4^2) = 5

9 miles - 5 miles = 4miles shorter if you could travel 'as the crow flies'

ElectricPavlov Jan 11, 2019