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National Grid

Pythagoras Theorem

The British National Grid co ordinate system defines a point as being X metres East and Y metres North of an origin off the Scilly Isles. The  Scilly Isles is chosen so that all all the values are positive. Since these measurements are in metres the distance in metres between the points can be calculated using Pythagoras Theorem.

Theorem, a² + b² = c² where c is the hypotenuse while a and b are the sides of a right angled triangle.

A right angled triangle

For calculating the distance d between two co-ordinates (x1, y1) and (x2, y2) the formula would be:

d² = (x1 - x2)² + (y1 - y2)²