From c371a56aed36cda7b60a0801ce057edd815871b7 Mon Sep 17 00:00:00 2001 From: James Su Date: Fri, 20 Sep 2019 14:22:50 +0000 Subject: [PATCH] Update Unit 1: Analytical Geometry.md --- Grade 10/Math/MPM2DZ/Unit 1: Analytical Geometry.md | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/Grade 10/Math/MPM2DZ/Unit 1: Analytical Geometry.md b/Grade 10/Math/MPM2DZ/Unit 1: Analytical Geometry.md index 34bf95d..2849e82 100644 --- a/Grade 10/Math/MPM2DZ/Unit 1: Analytical Geometry.md +++ b/Grade 10/Math/MPM2DZ/Unit 1: Analytical Geometry.md @@ -70,8 +70,8 @@ The centroid of a triangle is the common intersection of the 3 medians. The cent ### Procedure To Determine The Centroid -1. Find the equation of the two median lines. **The median is the line segment from a vertex from a vertex to the midpoint of the opposite side**. -2. Find the point of intersection using elimnation or substitution. +1. Find the equation of the two median lines. **The median is the line segment from a vertex to the midpoint of the opposite side**. +2. Find the point of intersection using elimination or substitution. - Alternatively, only for checking your work, let the centroid be the point $`(x, y)`$, and the 3 other points be $`(x_1, y_1), (x_2, y_2), (x_3, y_3)`$ respectively, then the centroid is simply at $`(\dfrac{x_1 + x_2 + x_3}{3}, \dfrac{y_1+y_2+y_3}{3})`$ @@ -91,7 +91,7 @@ The orthocenter of a triangle is the common intersection of the 3 lines containi ### Procedure To Determine The Orthocentre -1.Find the equation of two of the altitude lines. **An altitude is a perpendicular line segment from a vertex to the line of the opposite side.** +1. Find the equation of two of the altitude lines. **An altitude is a perpendicular line segment from a vertex to the line of the opposite side.** 2. Find the point of intersection of the two lines using elimination or substitution.