Activity 4
Right-angled triangle and median
In triangle ABC, the right angle is C.
1) Create the point P, the midpoint of line segment AB.
2) Draw the circle of centre P, passing through A.
3) Draw the line segment PC. (Note: the line PC is called the median drawn from C)
4) Measure the length of line segments PC and AB.
5) Move points A, B and C and answer the questions.
Question 1
P is the midpoint of the line segment AB. What can you notice about P?
Question 2
Compare the lengths of the line segments PC and AB.