# hypotenuse

Let $ABC$ a right triangle in a Euclidean geometry with right angle at $C$. Then $AB$ is called the hypotenuse of $ABC$.

The midpoint $P$ 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 $P$ to the vertices is precisely the circumradius.

The hypotenuse’s length can be calculated by means of the Pythagorean theorem:

 $c=\sqrt{a^{2}+b^{2}}$
Title hypotenuse Hypotenuse 2013-03-22 12:02:58 2013-03-22 12:02:58 CWoo (3771) CWoo (3771) 15 CWoo (3771) Definition msc 51-00 hypothenuse Triangle RightTriangle PythagorasTheorem Sohcahtoa