[b][size=150]Given below is an applet which shows medians of a triangle. Drag the points A, B and C and observe.[/size][br][/b]
[b]Q1. From the applet you can see that all the 3 medians are passing through a common point, G. What is this point of concurrency called?[/b]
[b][size=150]Construct and explore the altitudes of a triangle and show its point of concurrency.[/size][/b]
[b][size=150]Drag the vertices of the triangle in the two applets above and answer the following questions:[/size][/b]
[b]Q2. In what type of triangle, the centroid and orthocentre always lies inside the triangle?[/b]
[b]Q3. In what type of triangle, the orthocentre can be outside the triangle?[/b]
[b]Q4. Is there a triangle, in which the orthocentre lies on the triangle? What is the type of a triangle, if it exists?[/b]