POWER POINT PRESENTATION

2014-15

WELCOME

• Name:Aswathy.L.P• Optional Subject:Mathematics• Register Number:18014366003• Igbal training College Peringammala

• Directed by• Aswathy.R.S• Lecturer in Mathematics• Iqbal training College• Peringammala

• Construction of a CIRCUMCIRCLE

• Draw a triangle ABC with sides AB=4cm,BC=6cm and AC=5cm and drawits Circumcircle.

• First complete triangle ABC using the given measures.

Draw AB =4cm

•

•

• A 4cm B

Draw BC = 6cm

A 6cm B

Draw AC = 5cm

•

•

• A 4cm B

Join BC and AC C

5cm 6cm

A 4cm B

Draw perpendicular bisector of side AB

• C

• 5cm 6cm

• A B • 4cm

Draw perpendicular bisector of side AC.

C

• 5cm 6cm

• A 4cm B

Perpendicular bisectors of sides AB and AC meet at ‘S’

• C•

• 5cm 6cm

• A 4cm B

Draw a “Circumcircle” with ‘S’ as centre and ‘SA’ as radius.

• • C

• 5cm 66 6cm

• • A B• 4cmThis the”Circumcircle” of ABC

CIRCUMCIRCLE

• The circle passing through all the three vertices of a triangle is called its “Circumcircle”

CIRCUMCENTRE

• Perpendicular bisectors of the sides of a triangle meet at one point. It is called the “circumcentre”. Radius of the circumcircle is called “Circumradius”.

CONSTRUCTION

• First draw triangle ABC using the given measures. Draw perpendicular bisector of side AB . Then draw a perpendicular bisector of side AC. Let them meet at ‘S’ Draw a circle with ‘S’ as centre and ‘SA’ as radius. This is the circumcircle of ABC

THANK YOU