Triangle calculator SAS

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

Acute scalene triangle.

Sides: a = 165.4   b = 175.7   c = 166.3440489043

Area: T = 12359.95112579
Perimeter: p = 507.4440489043
Semiperimeter: s = 253.7220244521

Angle ∠ A = α = 57.76597038965° = 57°45'35″ = 1.0088097008 rad
Angle ∠ B = β = 63.96602961035° = 63°57'37″ = 1.11663177576 rad
Angle ∠ C = γ = 58.28° = 58°16'48″ = 1.01771778881 rad

Height: ha = 149.4555275186
Height: hb = 140.6943810562
Height: hc = 148.6110255134

Median: ma = 149.7688268159
Median: mb = 140.6976612068
Median: mc = 148.9855017456

Inradius: r = 48.71548799702
Circumradius: R = 97.77551500858

Vertex coordinates: A[166.3440489043; 0] B[0; 0] C[72.61095866195; 148.6110255134]
Centroid: CG[79.65500252207; 49.53767517113]
Coordinates of the circumscribed circle: U[83.17702445213; 51.40771045729]
Coordinates of the inscribed circle: I[78.02202445213; 48.71548799702]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 122.2440296103° = 122°14'25″ = 1.0088097008 rad
∠ B' = β' = 116.0439703897° = 116°2'23″ = 1.11663177576 rad
∠ C' = γ' = 121.72° = 121°43'12″ = 1.01771778881 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     