Final Cover - For Printing

Cut a sheet of paper in the form of a triangle. Select a side and fold the paper to form

a line along the midpoint of the side, the perpendicular bisector. Similarly form the

other two perpendicular bisectors also. Observe that the three perpendicular bisectors

pass through the same point, the circumcentre, S.

Note :

1. Circumcentre is the point of concurrence of the perpendicular bisectors of a triangle.


2. In a right angle triangle the circumcentre divides the hypotenuse into two halves.


3. The circumcentre of an acute angle triangle is inside the triangle.


4. Ortho Centre

Cut a sheet of paper in the form of a triangle. Select a side and fold the paper from

the vertex to the side in such a way that the impression created and the side chosen

are at right angles, which is an altitude. Similarly form the other two altitudes.

Observe that all the three altitudes pass through the same point, the orthocentre, O.

Note :

1. The perpendicular drawn from one vertex to the base opposite to it is the altitude.
   The point of concurrence of the altitudes of a triangle is the orthocentre.


2. In a right triangle the orthocentre coincides with the vertex containing the angle
   90 o.


3. In an obtuse angled triangle the orthocentre is formed outside the triangle.

A

C B

O