Plane Geometry · Maths

Centres of a triangle

Centres of a triangle is an interactive experiment in Plane Geometry, a free simulation from StudyFi Lab that runs right in your browser.

The altitudes meet at the orthocentre H, the medians at the centroid T, the perpendicular bisectors at the circumcentre O (centre of the circumscribed circle) and the angle bisectors at the incentre I (centre of the inscribed circle). H, T and O always lie on one line — the Euler line.

Try this: Switch the lines on one by one and drag a vertex — watch where each centre goes, e.g. outside an obtuse triangle.

Frequently asked questions

What does the “Centres of a triangle” experiment show?

The altitudes meet at the orthocentre H, the medians at the centroid T, the perpendicular bisectors at the circumcentre O (centre of the circumscribed circle) and the angle bisectors at the incentre I (centre of the inscribed circle). H, T and O always lie on one line — the Euler line.

How do I try “Centres of a triangle”?

Switch the lines on one by one and drag a vertex — watch where each centre goes, e.g. outside an obtuse triangle.

Studying for a test?

Upload your notes and StudyFi turns them into flashcards, tests and podcasts.

Try StudyFi free