Triangle calculator SAS

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

Obtuse scalene triangle.

Sides: a = 32   b = 12.5   c = 22.23877192949

Area: T = 103.0087614982
Perimeter: p = 66.73877192949
Semiperimeter: s = 33.36988596474

Angle ∠ A = α = 132.1721555417° = 132°10'18″ = 2.30768288195 rad
Angle ∠ B = β = 16.82884445827° = 16°49'42″ = 0.2943711766 rad
Angle ∠ C = γ = 31° = 0.54110520681 rad

Height: ha = 6.43879759364
Height: hb = 16.48112183971
Height: hc = 9.2644224772

Median: ma = 8.33296506361
Median: mb = 26.83664598954
Median: mc = 21.5998517545

Vertex coordinates: A[22.23877192949; 0] B[0; 0] C[30.63296284564; 9.2644224772]
Centroid: CG[17.62224492504; 3.0888074924]
Coordinates of the circumscribed circle: U[11.11988596474; 18.50548899784]
Coordinates of the inscribed circle: I[20.86988596474; 3.08769384231]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 47.82884445827° = 47°49'42″ = 2.30768288195 rad
∠ B' = β' = 163.1721555417° = 163°10'18″ = 0.2943711766 rad
∠ C' = γ' = 149° = 0.54110520681 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    