Difference between revisions of "Altitudes and orthocenter of a triangle"
Jump to navigation
Jump to search
| Line 12: | Line 12: | ||
Digital resources: Laptop, geogebra file, projector and a pointer. | Digital resources: Laptop, geogebra file, projector and a pointer. | ||
| − | Geogebra resources: | + | Geogebra resources: [https://ggbm.at/kk3npbgq Concurrency of altitudes.ggb] |
| + | |||
| + | {{Geogebra|kk3npbgq}} | ||
===Process (How to do the activity)=== | ===Process (How to do the activity)=== | ||
Revision as of 12:28, 10 May 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.