Difference between revisions of "Altitudes and orthocenter of a triangle"

Latest revision as of 07:17, 29 October 2019

An altitude of a triangle is a line segment that is drawn from the vertex to the opposite side and is perpendicular to the side. A triangle can have three altitudes. Point of intersection of these lines for different types of triangles is explored.

Objectives

Introduce altitudes of a triangle and their point of concurrence.

Estimated Time

30 minutes

Prerequisites/Instructions, prior preparations, if any

Types of triangles and concept of altitudes should have been covered.

Materials/ Resources needed

Digital resources: Laptop, geogebra file, projector and a pointer.

Geogebra resources: Concurrency of altitudes.ggb

Download this geogebra file from this link.

Process (How to do the activity)

Project the geogebra file and ask the following questions.

Developmental Questions:

Which type of triangle is this ?
What is an altitude ?
How do we construct an altitude ?
What is the point of concurrence of 3 altitudes called ?
Identify the position of point of concurrence in different triangles.

Evaluation:

What are the positions of orthocentre in different types of triangles.

Question Corner:

Find the applications of orthocentre.

@@ Line 1: / Line 1: @@
+An altitude of a triangle is a line segment that is drawn from the vertex to the opposite side and is perpendicular to the side.  A triangle can have three altitudes. Point of intersection of these lines for different types of triangles is explored.
 === Objectives ===
-Introduce altitudes of a triangle
+Introduce altitudes of a triangle and their point of concurrence.
-===Estimated Time===
-===Name of the activity===
-Brief blurb describing what the activity.  If this has been borrowed from some external web site (for example, a non OER or OER site which had this idea and based on which the activity was developed)
-===Objectives===
-Content objectives  - what content areas
-Skill objectives - what specific skills
-Classroom objectives - to demo peer learning, to make a classroom resource, etc -
-All these kinds of objectives need not be there for every activity.  And no need to list them as different headings.  This is only for our reference when we are developing activities.
-===Estimated Time===
-===Name of the activity===
-Brief blurb describing what the activity.  If this has been borrowed from some external web site (for example, a non OER or OER site which had this idea and based on which the activity was developed)
-===Objectives===
-Content objectives  - what content areas
-Skill objectives - what specific skills
-Classroom objectives - to demo peer learning, to make a classroom resource, etc -
-All these kinds of objectives need not be there for every activity.  And no need to list them as different headings.  This is only for our reference when we are developing activities.
 ===Estimated Time===
 minutes
@@ Line 33: / Line 12: @@
 Digital resources: Laptop, geogebra file, projector and a pointer.
-Geogebra resources: This geogebra file has been done by ItfC - Edu- Team.
+Geogebra resources: [https://ggbm.at/kk3npbgq Concurrency of altitudes.ggb]
+{{Geogebra|kk3npbgq}}
 ===Process (How to do the activity)===
@@ Line 47: / Line 28: @@
 *Question Corner:
 #Find the applications of orthocentre.
+[[Category:Triangles]]