Triangle calculator

Please enter what you know about the triangle:
You have entered side a, c and angle β.

Obtuse scalene triangle.

Sides: a = 1.2   b = 0.91105925113   c = 2.1

Area: T = 0.11098162359
Perimeter: p = 4.21105925113
Semiperimeter: s = 2.10552962556

Angle ∠ A = α = 6.5955311683° = 6°35'43″ = 0.11551099041 rad
Angle ∠ B = β = 5° = 0.08772664626 rad
Angle ∠ C = γ = 168.4054688317° = 168°24'17″ = 2.93992162869 rad

Height: ha = 0.18330270598
Height: hb = 0.24111973182
Height: hc = 0.10545868913

Median: ma = 1.50331930551
Median: mb = 1.64985464263
Median: mc = 0.17991350351

Inradius: r = 0.0522161892
Circumradius: R = 5.22439386791

Vertex coordinates: A[2.1; 0] B[0; 0] C[1.19554336377; 0.10545868913]
Centroid: CG[1.09884778792; 0.03548622971]
Coordinates of the circumscribed circle: U[1.05; -5.11773269705]
Coordinates of the inscribed circle: I[1.19547037444; 0.0522161892]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 173.4054688317° = 173°24'17″ = 0.11551099041 rad
∠ B' = β' = 175° = 0.08772664626 rad
∠ C' = γ' = 11.5955311683° = 11°35'43″ = 2.93992162869 rad

How did we calculate this triangle?

1. Input data entered: side a, c and angle β. 2. Calculation of the third side b of the triangle using a Law of Cosines Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. 3. The triangle circumference is the sum of the lengths of its three sides 4. Semiperimeter of the triangle 5. The triangle area using Heron's formula 6. Calculate the heights of the triangle from its area. 7. Calculation of the inner angles of the triangle using a Law of Cosines     