Find the distance between the points (0, 0) and (36, 15). Can you now find the distance between the two towns A and B ?
Solution and Explanation
Distance between points (0, 0) and (36, 15).
\(=\sqrt{(36-0)^2+(15-0)^2}=\sqrt{36^2+15^2}\)
\(=\sqrt{1296+225}=\sqrt{1521}=39\)
Yes, we can find the distance between the given towns A and B.
Assume town A at the origin point (0, 0).
Therefore, town B will be at point (36, 15) with respect to town A.
Hence, as calculated above, the distance between towns A and B will be 39 km.
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The central idea in coordinate geometry is to assign numerical coordinates to points in a plane or space, which allows us to describe their positions and relationships using algebraic equations. The most common coordinate system is the Cartesian coordinate system, named after the French mathematician and philosopher René Descartes.