Triangles by three Elements
Triangles are determined by three exterior magnitudes (sides or angles) if one of the following congruencies are complied.:
- sss three sides are given.
- sww one side and two angles are given.
- sws two sides and the enclosed angle are given.
- Ssw two sides and the angle opposite of the greater side are given.
Enter three exterior magnitudes (sides or angles), then the program computes the sides, the angles, the altitudes, the medians and the bisectors of the angles, the circumference and the area as well as the centers and radiuses of the inscribed and the circumscribed circle of the triangle.
In addition the program draws the triangle with its inscribed and circumscribed circles.
If you enter two sides and the angle opposite of the shorter side, you get two solutions if they exist.
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