Triangle calculator SSS - result

Please enter the triangle sides:

Obtuse scalene triangle.

Sides: a = 9   b = 21   c = 23

Area: T = 94.48437949069
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 23.03215063879° = 23°1'53″ = 0.40219756182 rad
Angle ∠ B = β = 65.90774000045° = 65°54'27″ = 1.15503011315 rad
Angle ∠ C = γ = 91.06110936076° = 91°3'40″ = 1.58993159039 rad

Height: ha = 20.99663988682
Height: hb = 8.99884566578
Height: hc = 8.21659821658

Median: ma = 21.55880611373
Median: mb = 13.9555285737
Median: mc = 11.34768057179

Inradius: r = 3.56554262229
Circumradius: R = 11.50219723866

Vertex coordinates: A[23; 0] B[0; 0] C[3.67439130435; 8.21659821658]
Centroid: CG[8.89113043478; 2.73986607219]
Coordinates of the circumscribed circle: U[11.5; -0.21329994886]
Coordinates of the inscribed circle: I[5.5; 3.56554262229]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.9688493612° = 156°58'7″ = 0.40219756182 rad
∠ B' = β' = 114.0932599996° = 114°5'33″ = 1.15503011315 rad
∠ C' = γ' = 88.93989063924° = 88°56'20″ = 1.58993159039 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     