Triangle calculator

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

Obtuse scalene triangle.

Sides: a = 92.99004311645   b = 186.01   c = 156.49

Area: T = 7259.577002029
Perimeter: p = 435.4400431164
Semiperimeter: s = 217.7700215582

Angle ∠ A = α = 29.92° = 29°55'12″ = 0.52222025122 rad
Angle ∠ B = β = 92.91878974245° = 92°55'4″ = 1.62217232441 rad
Angle ∠ C = γ = 57.16221025755° = 57°9'44″ = 0.99876668973 rad

Height: ha = 156.2877111465
Height: hb = 78.05656961485
Height: hc = 92.78799862009

Median: ma = 165.4989569376
Median: mb = 88.93774784907
Median: mc = 124.4770177474

Inradius: r = 33.34766367999
Circumradius: R = 93.12657370716

Vertex coordinates: A[156.49; 0] B[0; 0] C[-4.72990877674; 92.78799862009]
Centroid: CG[50.58769707442; 30.9276662067]
Coordinates of the circumscribed circle: U[78.245; 50.49987413718]
Coordinates of the inscribed circle: I[31.69902155823; 33.34766367999]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.08° = 150°4'48″ = 0.52222025122 rad
∠ B' = β' = 87.08221025755° = 87°4'56″ = 1.62217232441 rad
∠ C' = γ' = 122.8387897425° = 122°50'16″ = 0.99876668973 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     