To Locate Centroid and Orthocentre for different types of triangles
Given below is an applet which shows medians of a triangle. Drag the points A, B and C and observe.
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?
Construct and explore the altitudes of a triangle and show its point of concurrency.
Altitudes of a Triangle
Drag the vertices of the triangle in the two applets above and answer the following questions:
Q2. In what type of triangle, the centroid and orthocentre always lies inside the triangle?
Q3. In what type of triangle, the orthocentre can be outside the triangle?
Q4. Is there a triangle, in which the orthocentre lies on the triangle? What is the type of a triangle, if it exists?