## Triangles by three Elements

Triangles are defined by three external properties (sides or angles) if one of the following congruencies is met:

**SSS**three sides are given.**SAA**one side and two angles are given.**SAS**two sides and the enclosed angle are given.**SsA**two sides and the angle opposite of the greater side are given.

Given three external properties (sides or angles) of a triangle, the program calculates the sides, the angles, the altitudes, the medians and the angle bisectors, the perimeter and the area, as well as the centers and the radii of the incircle and the circumcircle of the triangle.

In addition the program draws the triangle with its incircle and its circumcircle.

If you enter two sides and the angle opposite of the shorter side, you will get two solutions if they exist.

### Example:

Given: a=6, b=4 and α=60° Vertices : A(1|1) B(7,899|1) C(3|4,4641) Sides : 6 4 6,89898 Angles : 60° 35,2644° 84,7356° Altitudes : 3,98313 5,97469 3,4641 Medians : 4,77472 6,148 3,75513 Bisectr. : 4,38551 6,11664 3,5464 Circumcir.: M(4,44949|1,31784) ru = 3,4641 Incircle : O(3,44949|2,41421) r i = 1,41421 Area : A = 11,9494 Perimeter : u = 16,899