Get Math Help

Get Tutoring Info Now!

By submitting the following form, you agree to Club Z!'s Terms of Use and Privacy Policy

Home / Get Math Help

Altitude of a Triangle

Illustration

Illustration

Basic definition

An altitude of a triangle is a line segment from one of its vertices which meets the opposite side at a right angle.

Detailed definition

The altitudes of a triangle are the Cevians A_i H_i that are perpendicular to the legs A_j A_k opposite A_i. The three altitudes of any triangle are concurrent at the orthocenter H. This fundamental fact did not appear anywhere in Euclid's Elements.
The triangle Δ H_1 H_2 H_3 connecting the feet of the altitudes is known as the orthic triangle.

Educational grade level

middle school level (California grade 7 standard)

Back to List | POWERED BY THE WOLFRAM LANGUAGE