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Update Unit 1: Analytical Geometry.md

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James Su 2019-09-20 14:22:50 +00:00
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Grade 10/Math/MPM2DZ/Unit 1: Analytical Geometry.md
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@ -70,8 +70,8 @@ The centroid of a triangle is the common intersection of the 3 medians. The cent
<img src="http://mathwords.com/c/c_assets/centroid.jpg" width="300">
### 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
<img src="https://upload.wikimedia.org/wikipedia/commons/thumb/9/93/Triangle.Orthocenter.svg/1200px-Triangle.Orthocenter.svg.png" width="300">
### 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.