Question:

Find the distance between the points (0, 0) and (36, 15). Can you now find the distance between the two towns A and B ?

Updated On: Nov 4, 2023
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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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Notes on Coordinate Geometry

Concepts Used:

Coordinate Geometry

Coordinate geometry, also known as analytical geometry or Cartesian geometry, is a branch of mathematics that combines algebraic techniques with the principles of geometry. It provides a way to represent geometric figures and solve problems using algebraic equations and coordinate systems.
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.