Triangle calculator

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

Obtuse scalene triangle.

Sides: a = 51   b = 56   c = 77

Area: T = 1427.193304931
Perimeter: p = 184
Semiperimeter: s = 92

Angle ∠ A = α = 41.45497838314° = 41°26'59″ = 0.72334352021 rad
Angle ∠ B = β = 46.624394476° = 46°37'26″ = 0.81437413463 rad
Angle ∠ C = γ = 91.92662714086° = 91°55'35″ = 1.60444161052 rad

Height: ha = 55.96883548749
Height: hb = 50.97111803325
Height: hc = 37.07699493327

Median: ma = 62.30877041785
Median: mb = 59
Median: mc = 37.23223783823

Inradius: r = 15.51329679273
Circumradius: R = 38.52217683246

Vertex coordinates: A[77; 0] B[0; 0] C[35.0265974026; 37.07699493327]
Centroid: CG[37.3421991342; 12.35766497776]
Coordinates of the circumscribed circle: U[38.5; -1.29548493554]
Coordinates of the inscribed circle: I[36; 15.51329679273]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.5550216169° = 138°33'1″ = 0.72334352021 rad
∠ B' = β' = 133.376605524° = 133°22'34″ = 0.81437413463 rad
∠ C' = γ' = 88.07437285914° = 88°4'25″ = 1.60444161052 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     