Important lines in a scalene obtuse triangle: altitudes, medians, angle bisectors, and perpen... | 1

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Description

In a triangle, there are four types of special lines, namely the triangle's altitudes, medians, angle bisectors, and perpendicular bisectors.

An altitude is the perpendicular projection of a vertex onto the side opposite the vertex. A triangle has three altitudes, which intersect in a single point called the orthocentre of the triangle. A median is a line segment from a vertex to the midpoint of the side opposite the vertex. A triangle has three medians, which intersect in a single point called the centroid of the triangle. The bisector of an angle is a line that divides the angle into two congruent angles. A triangle has three angle bisectors, which intersect in a single point called the incentre of the triangle. Lastly, the perpendicular bisector of a side is a line that intersects the side at a right angle and divides it into two congruent line segments. A triangle has three perpendicular bisectors, which intersect in a single point called the circumcentre of the triangle.

In this video, we're going to learn about the altitudes, medians, angle bisectors, and perpendicular bisectors of a scalene obtuse triangle.

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Timestamps

00:00 Support my work on Patreon
00:59 The altitudes
01:48 The medians
02:46 The angle bisectors
04:18 The perpendicular bisectors
05:38 Like, share, and leave a comment

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Playlists

1) Geometry:    • Geometry  
2) Trigonometry:    • Trigonometry  
3) Arithmetic:    • Arithmetic  
4) Algebra:    • Algebra  
5) Differential calculus:    • Differential calculus  

6) Conic sections:    • Conic sections (geometry)  
7) Triangles:    • Triangles (geometry)  
8) Quadrilaterals:    • Quadrilaterals (geometry)  

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Lastly, a disclaimer:
1) This video is meant to be a proof of concept.
2) The voice that narrates the video is not mine. It is an AI algorithm that converted my text into speech. English is my second language, and speech is not my forte, so I’ve chosen to use an AI algorithm to convert my text into speech.

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