Like this study set? Create a free account to save it.

Sign up for an account

Already have a Quizlet account? .

Create an account

Medians and Altitudes

Median definition

A segment that connects a vertex of a triangle to the midpoint of the opposite side. Only makes congruent segments. Doesn't have to be perpendicular. *Always passes through the vertices of a triangle.


Point of concurrency of the medians of a triangle.

Location of Centroid

Always inside triangle.

Length of Centroid

Vertex to centroid is 2/3's of median. Centroid to midpoint of side is 1/3.

Altitude definition

A segment from a vertex of a triangle perpendicular to the line containing the opposite side. Doesn't have to cut side in half. *Always passes through vertices of a triangle


point of concurrency of the altitudes of a triangle

Location of orthocenter

Acute triangle=inside
Right triangle=on
Obtuse triangle=outside

Euler's Line

Circumcenter, orthocenter, and centroid are always in a line in a triangle.

Equilateral triangle

A triangle with congruent sides.
The circumcenter, orthocenter, incenter, and centroid are in the same location.

Please allow access to your computer’s microphone to use Voice Recording.

Having trouble? Click here for help.

We can’t access your microphone!

Click the icon above to update your browser permissions and try again


Reload the page to try again!


Press Cmd-0 to reset your zoom

Press Ctrl-0 to reset your zoom

It looks like your browser might be zoomed in or out. Your browser needs to be zoomed to a normal size to record audio.

Please upgrade Flash or install Chrome
to use Voice Recording.

For more help, see our troubleshooting page.

Your microphone is muted

For help fixing this issue, see this FAQ.

Star this term

You can study starred terms together

Voice Recording