Processing Math: Done
Solution 4.1:4a
From Förberedande kurs i matematik 1
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
In this triangle, it is easy to measure the lengths of the opposite and the adjacent, which are simply the distances between the points in the
Using Pythagoras' theorem, we can then calculate the length of the hypotenuse, which is also the distance between the points:
x
2+
y
2=
42+32=
16+9=
25=5
NOTE: In general, the distance between two points
x
y
a
b
x−a
2+
y−b
2