Triangle calculator SAS

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

Obtuse scalene triangle.

Sides: a = 13.2   b = 5.3   c = 9.32883580382

Area: T = 19.81328901676
Perimeter: p = 27.82883580382
Semiperimeter: s = 13.91441790191

Angle ∠ A = α = 126.728761653° = 126°43'39″ = 2.21218141616 rad
Angle ∠ B = β = 18.77223834702° = 18°46'21″ = 0.32876399 rad
Angle ∠ C = γ = 34.5° = 34°30' = 0.60221385919 rad

Height: ha = 3.00219530557
Height: hb = 7.47765623274
Height: hc = 4.24878837297

Median: ma = 3.74108731393
Median: mb = 11.11878519438
Median: mc = 8.91112532271

Inradius: r = 1.42439352635
Circumradius: R = 8.23546886652

Vertex coordinates: A[9.32883580382; 0] B[0; 0] C[12.49878191625; 4.24878837297]
Centroid: CG[7.27553924002; 1.41659612432]
Coordinates of the circumscribed circle: U[4.66441790191; 6.78664225841]
Coordinates of the inscribed circle: I[8.61441790191; 1.42439352635]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 53.27223834702° = 53°16'21″ = 2.21218141616 rad
∠ B' = β' = 161.228761653° = 161°13'39″ = 0.32876399 rad
∠ C' = γ' = 145.5° = 145°30' = 0.60221385919 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     