Triangle calculator SSA

Please enter two sides and a non-included angle
°

Obtuse scalene triangle.

Sides: a = 4.5   b = 12.8   c = 14.60325126149

Area: T = 27.86331742998
Perimeter: p = 31.90325126149
Semiperimeter: s = 15.95112563074

Angle ∠ A = α = 17.34660359884° = 17°20'46″ = 0.30327454402 rad
Angle ∠ B = β = 58° = 1.01222909662 rad
Angle ∠ C = γ = 104.6543964012° = 104°39'14″ = 1.82765562473 rad

Height: ha = 12.38436330221
Height: hb = 4.35436209843
Height: hc = 3.81662164327

Median: ma = 13.54552643877
Median: mb = 8.70552677922
Median: mc = 6.22438779176

Inradius: r = 1.74767698947
Circumradius: R = 7.54767417815

Vertex coordinates: A[14.60325126149; 0] B[0; 0] C[2.3854636689; 3.81662164327]
Centroid: CG[5.66223831013; 1.27220721442]
Coordinates of the circumscribed circle: U[7.30112563074; -1.90991798894]
Coordinates of the inscribed circle: I[3.15112563074; 1.74767698947]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162.6543964012° = 162°39'14″ = 0.30327454402 rad
∠ B' = β' = 122° = 1.01222909662 rad
∠ C' = γ' = 75.34660359884° = 75°20'46″ = 1.82765562473 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     