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P2-2

Triangle Centres

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PAPER 2 TOPIC 2

Triangle Centres

Four Triangle Centres
CentreDefinitionProperty
Incentre IIntersection of angle bisectorsCentre of incircle
Circumcentre OIntersection of perpendicular bisectorsCentre of circumcircle
Centroid GIntersection of mediansDivides median 2:1
Orthocentre HIntersection of altitudes-

🔵 Incentre

• Intersection of angle bisectors

• Centre of incircle

• Equidistant from all three sides

🟢 Circumcentre

• Intersection of perpendicular bisectors

• Centre of circumcircle

• Equidistant from all three vertices

🟡 Centroid

• Intersection of medians

• Divides each median in ratio 2:1

🔴 Orthocentre

• Intersection of altitudes

📘 MathsKiller Textbook Series | P2-2 Triangle Centres

© 2025 MathsKiller