Triangle calculator SAS

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

Obtuse scalene triangle.

Sides: a = 33   b = 37   c = 60.65547607365

Area: T = 528.709850901
Perimeter: p = 130.6554760737
Semiperimeter: s = 65.32773803682

Angle ∠ A = α = 28.11104148663° = 28°6'37″ = 0.49106192935 rad
Angle ∠ B = β = 31.89895851337° = 31°53'23″ = 0.55765782577 rad
Angle ∠ C = γ = 120° = 2.09443951024 rad

Height: ha = 32.043293994
Height: hb = 28.57988383249
Height: hc = 17.43333721736

Median: ma = 47.45326079368
Median: mb = 45.18657278352
Median: mc = 17.58655053951

Inradius: r = 8.09332146066
Circumradius: R = 35.01990424388

Vertex coordinates: A[60.65547607365; 0] B[0; 0] C[28.01992350834; 17.43333721736]
Centroid: CG[29.55879986066; 5.81111240579]
Coordinates of the circumscribed circle: U[30.32773803682; -17.51095212194]
Coordinates of the inscribed circle: I[28.32773803682; 8.09332146066]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.8989585134° = 151°53'23″ = 0.49106192935 rad
∠ B' = β' = 148.1110414866° = 148°6'37″ = 0.55765782577 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     