Triangle calculator SAS

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

Acute scalene triangle.

Sides: a = 478.625   b = 477.937   c = 223.306596624

Area: T = 51925.75328293
Perimeter: p = 1179.868796624
Semiperimeter: s = 589.934398312

Angle ∠ A = α = 76.6721649645° = 76°40'18″ = 1.33881727292 rad
Angle ∠ B = β = 76.3288350355° = 76°19'42″ = 1.33221810263 rad
Angle ∠ C = γ = 27° = 0.4711238898 rad

Height: ha = 216.9798857474
Height: hb = 217.2911202938
Height: hc = 465.0643730304

Median: ma = 286.1376667708
Median: mb = 286.9987872116
Median: mc = 465.0666064831

Inradius: r = 88.02195993366
Circumradius: R = 245.9376827277

Vertex coordinates: A[223.306596624; 0] B[0; 0] C[113.1276554711; 465.0643730304]
Centroid: CG[112.144417365; 155.0211243435]
Coordinates of the circumscribed circle: U[111.653298312; 219.1311317642]
Coordinates of the inscribed circle: I[111.997698312; 88.02195993366]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 103.3288350355° = 103°19'42″ = 1.33881727292 rad
∠ B' = β' = 103.6721649645° = 103°40'18″ = 1.33221810263 rad
∠ C' = γ' = 153° = 0.4711238898 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     