Triangle calculator

Please enter what you know about the triangle:
You have entered side a, b and c.

Acute scalene triangle.

Sides: a = 310   b = 466   c = 400

Area: T = 61230.79553892
Perimeter: p = 1176
Semiperimeter: s = 588

Angle ∠ A = α = 41.07701666127° = 41°4'13″ = 0.71768096317 rad
Angle ∠ B = β = 80.9655320375° = 80°57'55″ = 1.41331114205 rad
Angle ∠ C = γ = 57.96545130122° = 57°57'52″ = 1.01216716014 rad

Height: ha = 395.0377389608
Height: hb = 262.7933113259
Height: hc = 306.1543976946

Median: ma = 405.6511328113
Median: mb = 271.5989764167
Median: mc = 341.5088418637

Inradius: r = 104.1344005764
Circumradius: R = 235.9277034888

Vertex coordinates: A[400; 0] B[0; 0] C[48.68; 306.1543976946]
Centroid: CG[149.56; 102.0511325649]
Coordinates of the circumscribed circle: U[200; 125.1466177692]
Coordinates of the inscribed circle: I[122; 104.1344005764]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.9329833387° = 138°55'47″ = 0.71768096317 rad
∠ B' = β' = 99.0354679625° = 99°2'5″ = 1.41331114205 rad
∠ C' = γ' = 122.0355486988° = 122°2'8″ = 1.01216716014 rad

How did we calculate this triangle?

1. Input data entered: side a, b and c. 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     