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Solution 4.1:4a

From Förberedande kurs i matematik 1

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If we draw in the points in a coordinate system, we can see the line between the points as the hypotenuse in an imaginary right-angled triangle, where the opposite and adjacent are parallel with the x - and y -axes.

Using Pythagoras' theorem, we can then calculate the length of the hypotenuse, which is also the distance between the points:


d=x2+y2=42+32=16+9=25=5 


NOTE: In general, the distance between two points xy  and ab  is given by the formula


d=xa2+yb2