Triangle calculator ASA

Please enter the side of the triangle and two adjacent angles
°
°

Obtuse scalene triangle.

Sides: a = 15.15215158987   b = 17.48881513194   c = 26.19

Area: T = 127.0330192715
Perimeter: p = 58.83296672182
Semiperimeter: s = 29.41548336091

Angle ∠ A = α = 33.69° = 33°41'24″ = 0.5888001425 rad
Angle ∠ B = β = 39.81° = 39°48'36″ = 0.69548155752 rad
Angle ∠ C = γ = 106.5° = 106°30' = 1.85987756534 rad

Height: ha = 16.76879846114
Height: hb = 14.52875724569
Height: hc = 9.70106638194

Median: ma = 20.94400014274
Median: mb = 19.5266479659
Median: mc = 9.80993277191

Inradius: r = 4.31985759404
Circumradius: R = 13.65774160124

Vertex coordinates: A[26.19; 0] B[0; 0] C[11.63989671145; 9.70106638194]
Centroid: CG[12.61096557048; 3.23435546065]
Coordinates of the circumscribed circle: U[13.095; -3.87989157165]
Coordinates of the inscribed circle: I[11.92766822896; 4.31985759404]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.31° = 146°18'36″ = 0.5888001425 rad
∠ B' = β' = 140.19° = 140°11'24″ = 0.69548155752 rad
∠ C' = γ' = 73.5° = 73°30' = 1.85987756534 rad

How did we calculate this triangle?

1. Calculate the third unknown inner angle 2. By using the law of sines, we calculate unknown side a 3. By using the law of sines, we calculate last unknown side b 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. 4. The triangle circumference is the sum of the lengths of its three sides 5. Semiperimeter of the triangle 6. The triangle area using Heron's formula 7. Calculate the heights of the triangle from its area. 8. Calculation of the inner angles of the triangle using a Law of Cosines     