Triangle calculator SSA

Please enter two sides and a non-included angle
°

Obtuse scalene triangle.

Sides: a = 75   b = 100   c = 157.6544386372

Area: T = 2956.021974448
Perimeter: p = 332.6544386373
Semiperimeter: s = 166.3277193186

Angle ∠ A = α = 22.0244312837° = 22°1'28″ = 0.38443967745 rad
Angle ∠ B = β = 30° = 0.52435987756 rad
Angle ∠ C = γ = 127.9765687163° = 127°58'32″ = 2.23435971035 rad

Height: ha = 78.82771931863
Height: hb = 59.12203948897
Height: hc = 37.5

Median: ma = 126.5754889971
Median: mb = 112.8711399262
Median: mc = 39.9854667241

Inradius: r = 17.77223178505
Circumradius: R = 100

Vertex coordinates: A[157.6544386372; 0] B[0; 0] C[64.95219052838; 37.5]
Centroid: CG[74.20220972188; 12.5]
Coordinates of the circumscribed circle: U[78.82771931863; -61.53327036167]
Coordinates of the inscribed circle: I[66.32771931863; 17.77223178505]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157.9765687163° = 157°58'32″ = 0.38443967745 rad
∠ B' = β' = 150° = 0.52435987756 rad
∠ C' = γ' = 52.0244312837° = 52°1'28″ = 2.23435971035 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     