Triangle calculator SSS - result

Please enter the triangle sides:

Acute isosceles triangle.

Sides: a = 12   b = 22   c = 22

Area: T = 126.9966062931
Perimeter: p = 56
Semiperimeter: s = 28

Angle ∠ A = α = 31.65332402637° = 31°39'12″ = 0.55224532615 rad
Angle ∠ B = β = 74.17333798681° = 74°10'24″ = 1.2954569696 rad
Angle ∠ C = γ = 74.17333798681° = 74°10'24″ = 1.2954569696 rad

Height: ha = 21.16660104885
Height: hb = 11.54550966301
Height: hc = 11.54550966301

Median: ma = 21.16660104885
Median: mb = 13.89224439894
Median: mc = 13.89224439894

Inradius: r = 4.53655736761
Circumradius: R = 11.43334253085

Vertex coordinates: A[22; 0] B[0; 0] C[3.27327272727; 11.54550966301]
Centroid: CG[8.42442424242; 3.84883655434]
Coordinates of the circumscribed circle: U[11; 3.11882069023]
Coordinates of the inscribed circle: I[6; 4.53655736761]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.3476759736° = 148°20'48″ = 0.55224532615 rad
∠ B' = β' = 105.8276620132° = 105°49'36″ = 1.2954569696 rad
∠ C' = γ' = 105.8276620132° = 105°49'36″ = 1.2954569696 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     