Question #34932

find the distance between (2,3) and (4,4)

Expert's answer

Answer on Question#34932 – Math – Geometry

Question.

Find the distance between (2,3) and (4,4).

Solution.

The distance DD between two points (x1,y1),(x2,y2)(x_1, y_1), (x_2, y_2) in Cartesian coordinate system is given by:


D=(x1x2)2+(y1y2)2.(1)D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}. \quad (1)


Substitute our points in (1):


D=(24)2+(34)2=5D = \sqrt{(2 - 4)^2 + (3 - 4)^2} = \sqrt{5}


Answer.

5\sqrt{5}

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