Triangle calculator SAS

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

Obtuse scalene triangle.

Sides: a = 32   b = 35   c = 58.04330874437

Area: T = 484.9744226119
Perimeter: p = 125.0433087444
Semiperimeter: s = 62.52215437219

Angle ∠ A = α = 28.51991477188° = 28°31'9″ = 0.49877530276 rad
Angle ∠ B = β = 31.48108522812° = 31°28'51″ = 0.54994445236 rad
Angle ∠ C = γ = 120° = 2.09443951024 rad

Height: ha = 30.31108891325
Height: hb = 27.71328129211
Height: hc = 16.71108349152

Median: ma = 45.17774279923
Median: mb = 43.47770054167
Median: mc = 16.88002976164

Inradius: r = 7.75769138132
Circumradius: R = 33.51111921602

Vertex coordinates: A[58.04330874437; 0] B[0; 0] C[27.29900713894; 16.71108349152]
Centroid: CG[28.44443862777; 5.57702783051]
Coordinates of the circumscribed circle: U[29.02215437219; -16.75655960801]
Coordinates of the inscribed circle: I[27.52215437219; 7.75769138132]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.4810852281° = 151°28'51″ = 0.49877530276 rad
∠ B' = β' = 148.5199147719° = 148°31'9″ = 0.54994445236 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     