Triangle calculator SAS

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

Obtuse scalene triangle.

Sides: a = 70   b = 52   c = 106.0387729134

Area: T = 1576.166623489
Perimeter: p = 228.0387729135
Semiperimeter: s = 114.0198864567

Angle ∠ A = α = 34.86988628107° = 34°52'8″ = 0.60985764625 rad
Angle ∠ B = β = 25.13111371893° = 25°7'52″ = 0.43986210887 rad
Angle ∠ C = γ = 120° = 2.09443951024 rad

Height: ha = 45.03333209968
Height: hb = 60.62217782649
Height: hc = 29.72884041775

Median: ma = 75.82221603491
Median: mb = 86
Median: mc = 31.48801524774

Inradius: r = 13.82437320716
Circumradius: R = 61.22109114601

Vertex coordinates: A[106.0387729134; 0] B[0; 0] C[63.37436694934; 29.72884041775]
Centroid: CG[56.47704662093; 9.90994680592]
Coordinates of the circumscribed circle: U[53.01988645672; -30.611045573]
Coordinates of the inscribed circle: I[62.01988645672; 13.82437320716]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.1311137189° = 145°7'52″ = 0.60985764625 rad
∠ B' = β' = 154.8698862811° = 154°52'8″ = 0.43986210887 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     