2D Coordinate Geometry - Problem Solving
Pi Han Goh
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PS: Here are examples of great wiki pages — Fractions, Chain Rule, and Vieta Root Jumping
This page has examples for problem-solving techniques that primarily involve 2D coordinate geometry.
Examples
The most fundamental formula applied in 2D coordinate geometry is the distance formula
\[ \begin{eqnarray} \text{(Distance travelled)} &=& \sqrt{ (\text{rise})^2 +(\text{run})^2} \\ &=& \sqrt{ (\Delta x)^2 + (\Delta y)^2}. \end{eqnarray} \]
If I walk 15 kilometers north and then another 36 kilometers west, what is the displacement?
By the Pythagorean theorem, I have traveled \(\sqrt{15^2 + 36^2} = 39 \) kilometers. \(_\square \)
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2D Coordinate Geometry - Problem Solving.
Brilliant.org.
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https://brilliant.org/wiki/2d-coordinate-geometry-problem-solving/