Triangle calculator SSS - result

Please enter the triangle sides:

Obtuse scalene triangle.

Sides: a = 107   b = 77   c = 152.83

Area: T = 3838.749928015
Perimeter: p = 336.83
Semiperimeter: s = 168.415

Angle ∠ A = α = 40.72435298078° = 40°43'25″ = 0.71107596782 rad
Angle ∠ B = β = 28.00112670337° = 28°5″ = 0.48987143045 rad
Angle ∠ C = γ = 111.2755203159° = 111°16'31″ = 1.94221186709 rad

Height: ha = 71.75223229935
Height: hb = 99.70877735104
Height: hc = 50.23655464261

Median: ma = 108.5399183938
Median: mb = 126.1777472038
Median: mc = 53.38330289043

Inradius: r = 22.79333929885
Circumradius: R = 82.00436864944

Vertex coordinates: A[152.83; 0] B[0; 0] C[94.47442815547; 50.23655464261]
Centroid: CG[82.43547605182; 16.7455182142]
Coordinates of the circumscribed circle: U[76.415; -29.75548714275]
Coordinates of the inscribed circle: I[91.415; 22.79333929885]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.2766470192° = 139°16'35″ = 0.71107596782 rad
∠ B' = β' = 151.9998732966° = 151°59'55″ = 0.48987143045 rad
∠ C' = γ' = 68.72547968415° = 68°43'29″ = 1.94221186709 rad

How did we calculate this triangle?

1. The triangle circumference is the sum of the lengths of its three sides 2. Semiperimeter of the triangle 3. The triangle area using Heron's formula 4. Calculate the heights of the triangle from its area. 5. Calculation of the inner angles of the triangle using a Law of Cosines     