Triangle calculator SAS

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

Acute scalene triangle.

Sides: a = 1200   b = 1700   c = 1348.376982341

Area: T = 803770.9698679
Perimeter: p = 4248.376982341
Semiperimeter: s = 2124.18549117

Angle ∠ A = α = 44.53114648378° = 44°31'53″ = 0.77772206822 rad
Angle ∠ B = β = 83.46985351622° = 83°28'7″ = 1.45768007604 rad
Angle ∠ C = γ = 52° = 0.9087571211 rad

Height: ha = 1339.618828113
Height: hb = 945.6132904328
Height: hc = 1192.211144634

Median: ma = 1412.109856181
Median: mb = 952.1329502923
Median: mc = 1307.85111784

Inradius: r = 378.3990301264
Circumradius: R = 855.5532933278

Vertex coordinates: A[1348.376982341; 0] B[0; 0] C[136.4998597893; 1192.211144634]
Centroid: CG[494.9566140433; 397.4043815445]
Coordinates of the circumscribed circle: U[674.1854911703; 526.7310981121]
Coordinates of the inscribed circle: I[424.1854911703; 378.3990301264]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.4698535162° = 135°28'7″ = 0.77772206822 rad
∠ B' = β' = 96.53114648378° = 96°31'53″ = 1.45768007604 rad
∠ C' = γ' = 128° = 0.9087571211 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     