Triangle calculator SSA

Please enter two sides and a non-included angle
°

Obtuse scalene triangle.

Sides: a = 55   b = 90   c = 133.3277079713

Area: T = 1833.247734606
Perimeter: p = 278.3277079713
Semiperimeter: s = 139.1643539857

Angle ∠ A = α = 17.7921590573° = 17°47'30″ = 0.31105218347 rad
Angle ∠ B = β = 30° = 0.52435987756 rad
Angle ∠ C = γ = 132.2088409427° = 132°12'30″ = 2.30774720433 rad

Height: ha = 66.66435398566
Height: hb = 40.73988299124
Height: hc = 27.5

Median: ma = 110.3711214963
Median: mb = 91.51880588322
Median: mc = 33.44435711878

Vertex coordinates: A[133.3277079713; 0] B[0; 0] C[47.63113972081; 27.5]
Centroid: CG[60.31994923071; 9.16766666667]
Coordinates of the circumscribed circle: U[66.66435398566; -60.4654638044]
Coordinates of the inscribed circle: I[49.16435398566; 13.17333308016]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162.2088409427° = 162°12'30″ = 0.31105218347 rad
∠ B' = β' = 150° = 0.52435987756 rad
∠ C' = γ' = 47.7921590573° = 47°47'30″ = 2.30774720433 rad

How did we calculate this triangle?

1. Use 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    