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Orthocentre

  • Discover the Properties of Orthocentre

  • Application on Questions

  • Find the Coordinate of Orthocente

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Pre-Class Observation

  • Try to Guess where will three altitudes intersect

  • Drag the vertices or click randomize to rearrange the triangle

  • Is there anything you notice?

Where Centre" locates?
Imagine the Change when you move vertices

Intersection of Altitudes:

  • The orthocentre of a triangle is the point where the perpendicular drawn from the vertices to the opposite sides of the triangle intersect each other.

Orthocentre: Red Point

Properties of the Orthocentre of Triangle

  • The Orthocentre is always inside the       acute triangle

  • The Orthocentre is always outside the obtuse triangle

  • The Orthocentre is always on the right angle in right triangle

Orthocentre formula.png

Furthur Explore

  • Try to check the properties

  • Can you notice the properties above?

Do you still remember 
angle in semi circle?

Application

OC1.png
Question 1
OC2.png
Question 2
OC3.png
Question 3
OC4.png
Question 4

Orthocentre:
Coordiante Geometry

How to Find &

Relation with Perpendicular Lines

Orthocentre method.png

Method

五顏六色的書籍

Practice Time

Capstone Project:

Learning Package for Triangle Centers
-5E instructional model

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