hypotenuse
Let a right triangle in a Euclidean geometry with right angle at . Then is called the hypotenuse of .
The midpoint of the hypotenuse coincides with the circumcenter of the triangle, so it is equidistant from the three vertices. When the triangle is inscribed on his circumcircle, the hypotenuse becomes a diameter. So the distance from to the vertices is precisely the circumradius.
The hypotenuse’s length can be calculated by means of the Pythagorean theorem:
Title | hypotenuse |
---|---|
Canonical name | Hypotenuse |
Date of creation | 2013-03-22 12:02:58 |
Last modified on | 2013-03-22 12:02:58 |
Owner | CWoo (3771) |
Last modified by | CWoo (3771) |
Numerical id | 15 |
Author | CWoo (3771) |
Entry type | Definition |
Classification | msc 51-00 |
Synonym | hypothenuse |
Related topic | Triangle |
Related topic | RightTriangle |
Related topic | PythagorasTheorem |
Related topic | Sohcahtoa |