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Update Unit 1: Analytical Geometry.md

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James Su 2019-09-20 14:26:01 +00:00
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Grade 10/Math/MPM2DZ/Unit 1: Analytical Geometry.md
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@ -112,3 +112,9 @@ The orthocenter of a triangle is the common intersection of the 3 lines containi
- For example, from a point like $`(2, 3)`$ to a point ($`5, 6)`$, and having a ratio of $`2:1`$ split at point $`P`$, the coordindates of point $`P`$ is simply
- $`(5 - \dfrac{5-2}{3}, 7 - \dfrac{6-3}{3})`$
- Which is $`(4, 6)`$
## Shortest Distance From Point To a Line
- The shortest distance is always a straightline, thus, the shortest distance from a point to a line must be **perpendicular.**
- Thus, you can mind the slope of the line, then get the **negative reciprocal** (perpendicular slope), then find the equation of the perpendicular line.
- After you have the 2 lines, proceed by using subsitution or elimination to find the **point of intersection**.
- Then apply **distance formula** to find the shortest distance.