Altitudes and orthocenter of a triangle
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.
Introduce altitudes of a triangle and their point of concurrence.
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.
- What are the positions of orthocentre in different types of triangles.
- Question Corner:
- Find the applications of orthocentre.