Determine the distance between points A (5; 2) and B (1; -1) C (-6; 3) and D (0; -5).

univerkov | May 7, 2021 | education

For the solution, we use the formula for determining the distance between two points by their coordinates.

d = √ (X2 – X1) ^ 2 + (Y2 – Y1) ^ 2, where X1, X2, Y1, Y2 are the coordinates of the points.

Then AB = √ (1 – 5) ^ 2 + (-1 – 2) ^ 2 = √ (16 + 9) = √25 = 5 cm.

SD = √ (0 – (-6)) ^ 2 + (-5 – 3) ^ 2 = √ (36 + 64) = √100 = 10 cm.

Answer: The distance between points A and B is 5 cm, between C and D 10 cm.

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