Triangle calculator SAS

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

Acute scalene triangle.

Sides: a = 119   b = 103   c = 61.29876409871

Area: T = 3156.411084209
Perimeter: p = 283.2987640987
Semiperimeter: s = 141.6498820494

Angle ∠ A = α = 89.06879635101° = 89°4'5″ = 1.55545292213 rad
Angle ∠ B = β = 59.93220364899° = 59°55'55″ = 1.04660113642 rad
Angle ∠ C = γ = 31° = 0.54110520681 rad

Height: ha = 53.04989217157
Height: hb = 61.29895309143
Height: hc = 102.9866372436

Median: ma = 60.35768587262
Median: mb = 79.41663106376
Median: mc = 106.9844343725

Inradius: r = 22.28333542213
Circumradius: R = 59.5087873275

Vertex coordinates: A[61.29876409871; 0] B[0; 0] C[59.62222030153; 102.9866372436]
Centroid: CG[40.30766146675; 34.32987908121]
Coordinates of the circumscribed circle: U[30.64988204936; 51.00882031057]
Coordinates of the inscribed circle: I[38.64988204936; 22.28333542213]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90.93220364899° = 90°55'55″ = 1.55545292213 rad
∠ B' = β' = 120.068796351° = 120°4'5″ = 1.04660113642 rad
∠ C' = γ' = 149° = 0.54110520681 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     