SOLUTION: I'm confused as on how to solve this problem. I tried doing a^2 + b^2 = c^2, but when I checked my answer, I got it wrong. I got 3025, but the correct answer was approximately 268

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: I'm confused as on how to solve this problem. I tried doing a^2 + b^2 = c^2, but when I checked my answer, I got it wrong. I got 3025, but the correct answer was approximately 268       Log On

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Question 1094802: I'm confused as on how to solve this problem. I tried doing a^2 + b^2 = c^2, but when I checked my answer, I got it wrong. I got 3025, but the correct answer was approximately 268 miles. I'm not sure how I would use the distance formula either since the numbers are not coordinates. Please help.
"Travel. A retired couple who live in Columbia, South Carolina, decide to take their motor home and visit two children who live in Atlanta and in Savannah, Georgia. Savannah is 160 miles south of Columbia, and Atlanta is 215 miles west of Columbia. How far apart do the children live from each other?"


Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A retired couple who live in Columbia, South Carolina, decide to take their motor home and visit two children who live in Atlanta and in Savannah, Georgia. Savannah is 160 miles south of Columbia, and Atlanta is 215 miles west of Columbia. How far apart do the children live from each other?"
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3025 is long way. They're neighboring states, not FL and WA.
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Can you show how you got that?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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A retired couple who live in Columbia, South Carolina, decide to take their motor home and visit two children who live in Atlanta and in Savannah, Georgia. Savannah is 160 miles south of Columbia, and Atlanta is 215 miles west of Columbia. How far apart do the children live from each other?
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To the south 160 miles is one leg of a right triangle and to the west 215 miles is the other leg of a the right triangle.
Distance from Savannah to Atlanta forms the hypotenuse, h.
h=sqrt%28215%5E2%2B160%5E2%29
h=sqrt%2846225%2B25600%29
h=sqrt%2871825%29
highlight%28h=268%29, to three significant figures. If you want to check, try multiplying, %28268%29%28268%29.