Triangle calculator SSA

Please enter two sides and a non-included angle
°

Obtuse scalene triangle.

Sides: a = 125   b = 150   c = 253.6788210186

Area: T = 6700.56552644
Perimeter: p = 528.6788210186
Semiperimeter: s = 264.3399105093

Angle ∠ A = α = 20.62108271377° = 20°37'15″ = 0.3659901328 rad
Angle ∠ B = β = 25° = 0.4366332313 rad
Angle ∠ C = γ = 134.3799172862° = 134°22'45″ = 2.34553590126 rad

Height: ha = 107.209904423
Height: hb = 89.3410870192
Height: hc = 52.82772827176

Median: ma = 198.7976547157
Median: mb = 185.3754801852
Median: mc = 54.53875230384

Inradius: r = 25.34883693305
Circumradius: R = 177.4655118736

Vertex coordinates: A[253.6788210186; 0] B[0; 0] C[113.288847338; 52.82772827176]
Centroid: CG[122.3222227855; 17.60990942392]
Coordinates of the circumscribed circle: U[126.8399105093; -124.1219739717]
Coordinates of the inscribed circle: I[114.3399105093; 25.34883693305]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 159.3799172862° = 159°22'45″ = 0.3659901328 rad
∠ B' = β' = 155° = 0.4366332313 rad
∠ C' = γ' = 45.62108271377° = 45°37'15″ = 2.34553590126 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     