Altitudes and orthocenter of a triangle

Objectives

Introduce altitudes of a triangle

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.

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

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: This geogebra file has been done by ItfC - Edu- Team.

Process (How to do the activity)

1. Project the geogebra file and ask the following questions.

• Developmental Questions:

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

• Evaluation:

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

• Question Corner:

1. Find the applications of orthocentre.