Triangle calculator

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

Obtuse scalene triangle.

Sides: a = 1.85547031015   b = 90   c = 89

Area: T = 69.89768877813
Perimeter: p = 180.8554703102
Semiperimeter: s = 90.42773515507

Angle ∠ A = α = 1° = 0.01774532925 rad
Angle ∠ B = β = 122.1265748392° = 122°7'33″ = 2.13114964109 rad
Angle ∠ C = γ = 56.87442516077° = 56°52'27″ = 0.99326429502 rad

Height: ha = 75.37325895275
Height: hb = 1.55332641729
Height: hc = 1.57107165794

Median: ma = 89.49765922206
Median: mb = 44.0143861019
Median: mc = 45.51334041992

Inradius: r = 0.77329617929
Circumradius: R = 53.13660276343

Vertex coordinates: A[89; 0] B[0; 0] C[-0.98662925641; 1.57107165794]
Centroid: CG[29.33879024786; 0.52435721931]
Coordinates of the circumscribed circle: U[44.5; 29.0387689866]
Coordinates of the inscribed circle: I[0.42773515507; 0.77329617929]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 179° = 0.01774532925 rad
∠ B' = β' = 57.87442516077° = 57°52'27″ = 2.13114964109 rad
∠ C' = γ' = 123.1265748392° = 123°7'33″ = 0.99326429502 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     