diff --git a/Grade 10/Math/MPM2DZ/Unit 1: Analytical Geometry.md b/Grade 10/Math/MPM2DZ/Unit 1: Analytical Geometry.md index 2849e82..fa76114 100644 --- a/Grade 10/Math/MPM2DZ/Unit 1: Analytical Geometry.md +++ b/Grade 10/Math/MPM2DZ/Unit 1: Analytical Geometry.md @@ -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. \ No newline at end of file