Triangle calculator SAS

Please enter two sides of the triangle and the included angle
°

Obtuse scalene triangle.

Sides: a = 42   b = 35   c = 66.77657440992

Area: T = 636.5298671782
Perimeter: p = 143.7765744099
Semiperimeter: s = 71.88878720496

Angle ∠ A = α = 33.00444915989° = 33°16″ = 0.57660370463 rad
Angle ∠ B = β = 26.99655084011° = 26°59'44″ = 0.47111605048 rad
Angle ∠ C = γ = 120° = 2.09443951024 rad

Height: ha = 30.31108891325
Height: hb = 36.37330669589
Height: hc = 19.06546672791

Median: ma = 49
Median: mb = 52.96546108265
Median: mc = 19.48771752699

Inradius: r = 8.85444653449
Circumradius: R = 38.5532993831

Vertex coordinates: A[66.77657440992; 0] B[0; 0] C[37.4243768671; 19.06546672791]
Centroid: CG[34.73331709234; 6.3554889093]
Coordinates of the circumscribed circle: U[33.38878720496; -19.27664969155]
Coordinates of the inscribed circle: I[36.88878720496; 8.85444653449]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.9965508401° = 146°59'44″ = 0.57660370463 rad
∠ B' = β' = 153.0044491599° = 153°16″ = 0.47111605048 rad
∠ C' = γ' = 60° = 2.09443951024 rad

How did we calculate this triangle?

1. Calculation of the third side c 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. 2. The triangle circumference is the sum of the lengths of its three sides 3. Semiperimeter of the triangle 4. The triangle area using Heron's formula 5. Calculate the heights of the triangle from its area. 6. Calculation of the inner angles of the triangle using a Law of Cosines     