Triangle calculator SAS

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

Right scalene triangle.

Sides: a = 57   b = 47   c = 73.87882782691

Area: T = 1339.5
Perimeter: p = 177.8788278269
Semiperimeter: s = 88.93991391345

Angle ∠ A = α = 50.49223245571° = 50°29'32″ = 0.88112573105 rad
Angle ∠ B = β = 39.50876754429° = 39°30'28″ = 0.69895390163 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 47
Height: hb = 57
Height: hc = 36.26223502167

Median: ma = 54.9665898519
Median: mb = 61.65442780349
Median: mc = 36.93991391345

Inradius: r = 15.06108608655
Circumradius: R = 36.93991391345

Vertex coordinates: A[73.87882782691; 0] B[0; 0] C[43.97877438798; 36.26223502167]
Centroid: CG[39.28553407163; 12.08774500722]
Coordinates of the circumscribed circle: U[36.93991391345; 0]
Coordinates of the inscribed circle: I[41.93991391345; 15.06108608655]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 129.5087675443° = 129°30'28″ = 0.88112573105 rad
∠ B' = β' = 140.4922324557° = 140°29'32″ = 0.69895390163 rad
∠ C' = γ' = 90° = 1.57107963268 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     