Triangle calculator

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

Obtuse scalene triangle.

Sides: a = 55.89657458458   b = 111.8   c = 125

Area: T = 3124.572217246
Perimeter: p = 292.6965745846
Semiperimeter: s = 146.3487872923

Angle ∠ A = α = 26.562° = 26°33'43″ = 0.46435943559 rad
Angle ∠ B = β = 63.4311464653° = 63°25'53″ = 1.10770879076 rad
Angle ∠ C = γ = 90.0076535347° = 90°24″ = 1.57109103901 rad

Height: ha = 111.8799999273
Height: hb = 55.89657454822
Height: hc = 49.99331547593

Median: ma = 115.2433378982
Median: mb = 79.05660383641
Median: mc = 62.49442973545

Inradius: r = 21.35503080711
Circumradius: R = 62.55000004066

Vertex coordinates: A[125; 0] B[0; 0] C[255.0003776146; 49.99331547593]
Centroid: CG[500.0001258715; 16.66443849198]
Coordinates of the circumscribed circle: U[62.5; -0.00771289577]
Coordinates of the inscribed circle: I[34.54878729229; 21.35503080711]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.438° = 153°26'17″ = 0.46435943559 rad
∠ B' = β' = 116.5698535347° = 116°34'7″ = 1.10770879076 rad
∠ C' = γ' = 89.9933464653° = 89°59'36″ = 1.57109103901 rad

How did we calculate this triangle?

1. Input data entered: side b, c and angle α. 2. Calculation of the third side a 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     