Triangle calculator SSA

Please enter two sides and a non-included angle
°

Obtuse scalene triangle.

Sides: a = 17.2   b = 22.1   c = 34.41333219119

Area: T = 161.6211370198
Perimeter: p = 73.71333219119
Semiperimeter: s = 36.8576660956

Angle ∠ A = α = 25.15219629485° = 25°9'7″ = 0.43989845668 rad
Angle ∠ B = β = 33.1° = 33°6' = 0.57877039824 rad
Angle ∠ C = γ = 121.7488037052° = 121°44'53″ = 2.12549041044 rad

Height: ha = 18.79331825811
Height: hb = 14.62663683437
Height: hc = 9.39329537294

Median: ma = 27.61112904897
Median: mb = 24.85987180383
Median: mc = 9.80108070457

Inradius: r = 4.38551332705
Circumradius: R = 20.23443166457

Vertex coordinates: A[34.41333219119; 0] B[0; 0] C[14.40987619259; 9.39329537294]
Centroid: CG[16.27440279459; 3.13109845765]
Coordinates of the circumscribed circle: U[17.2076660956; -10.64769896621]
Coordinates of the inscribed circle: I[14.7576660956; 4.38551332705]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 154.8488037052° = 154°50'53″ = 0.43989845668 rad
∠ B' = β' = 146.9° = 146°54' = 0.57877039824 rad
∠ C' = γ' = 58.25219629485° = 58°15'7″ = 2.12549041044 rad

How did we calculate this triangle?

1. Use Law of Cosines  Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. 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     