Triangle calculator SAS

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

Acute scalene triangle.

Sides: a = 90   b = 100   c = 80.80773203716

Area: T = 3447.219999404
Perimeter: p = 270.8077320372
Semiperimeter: s = 135.4043660186

Angle ∠ A = α = 58.56603483671° = 58°33'37″ = 1.02220708901 rad
Angle ∠ B = β = 71.44396516329° = 71°26'23″ = 1.24768571375 rad
Angle ∠ C = γ = 50° = 0.8732664626 rad

Height: ha = 76.60444443119
Height: hb = 68.94439998807
Height: hc = 85.31990027384

Median: ma = 78.99331105402
Median: mb = 69.39895634287
Median: mc = 86.12551661455

Inradius: r = 25.45986913626
Circumradius: R = 52.74332325223

Vertex coordinates: A[80.80773203716; 0] B[0; 0] C[28.64772995537; 85.31990027384]
Centroid: CG[36.48548733085; 28.44396675795]
Coordinates of the circumscribed circle: U[40.40436601858; 33.90326963601]
Coordinates of the inscribed circle: I[35.40436601858; 25.45986913626]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 121.4439651633° = 121°26'23″ = 1.02220708901 rad
∠ B' = β' = 108.5660348367° = 108°33'37″ = 1.24768571375 rad
∠ C' = γ' = 130° = 0.8732664626 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     