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4 votes
Find the difference between (2,3) and (4,1)

User Hopeman
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1 Answer

6 votes

Answer:

The distance in question is √8, or 2√2.

Explanation:

Distance, not difference.

As we move from (2, 3) to (4, 1), x (the horizontal distance between the two points), increases by 2 and y (the vertical distance) decreases by 2.

Hence we have a triangle with horizontal leg length 2 and vertical leg length 2. According to the Pythagorean Theorem,

(distance)^2 = 2^2 + 2^2, or (distance)^2 = 4 + 4 = 8.

The distance in question is √8, or 2√2.

User Benjaminplanche
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