SOLUTION: Analytic Geometry 13. On a street map, the coordinates of the two fire stations in a town are A(10, 63) and B(87, 30). A neighbor reports smoke coming from the kitchen of a house

Question 200398: Analytic Geometry
13. On a street map, the coordinates of the two fire stations in a town are A(10, 63) and B(87, 30). A neighbor reports smoke coming from the kitchen of a house at C(41, 18).
a) Whic fire station is closer to this house?
Can you please help me with this question? Thanks>>
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
On a street map, the coordinates of the two fire stations in a town are A(10, 63) and B(87, 30). A neighbor reports smoke coming from the kitchen of a house at C(41, 18).
a) Whic fire station is closer to this house?
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Find the 2 distances.
d^2 = diffy^2 + diffx^2
Distance to A
d^2 = (18-63)^2 + (41-10)^2 = 2986
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Distance to B
d^2 = (18-30)^2 + (41-87)^2 = 2260
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B is closer. It's not necessary to take the sq root, since the distance wasn't asked for, only which is closer.
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