Unit triangle

Unit triangle - Euclidean plane

As a unit triangle is referred to in the numerical analysis , a right-angled triangle , whose catheti the length have. It can be illustrated in Cartesian coordinates, for example as a triangle with the corner points , and . The unit triangle has the area . Its hypotenuse length is , therefore the perimeter of the unit triangle is . ${\displaystyle 1}$ ${\displaystyle (0;1)}$ ${\displaystyle (1;0)}$ ${\displaystyle (0;0)}$ ${\displaystyle {\tfrac {1}{2}}}$ ${\displaystyle {\sqrt {2}}}$ ${\displaystyle 2+{\sqrt {2}}}$

Often, especially in numerical mathematics and integral calculus , calculations on any triangles can be reduced to calculations on the unit triangle using affine transformations .

literature

• Schwarz, HR, Köckler, N .: Numerical Mathematics . Springer, Berlin 2007 (7th edition), ISBN 9783834892829