Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Obtuse scalene triangle.

Sides: a = 1.414   b = 21.9996979772   c = 2.73216382367

Area: T = 1.36656128641
Perimeter: p = 6.14553362139
Semiperimeter: s = 3.0732668107

Angle ∠ A = α = 30° = 0.52435987756 rad
Angle ∠ B = β = 45° = 0.78553981634 rad
Angle ∠ C = γ = 105° = 1.83325957146 rad

Height: ha = 1.9321559921
Height: hb = 1.36658191184
Height: hc = 10.9998489886

Median: ma = 2.28770222404
Median: mb = 1.9321559921
Median: mc = 1.06547216237

Inradius: r = 0.44444387798
Circumradius: R = 1.414

Vertex coordinates: A[2.73216382367; 0] B[0; 0] C[10.9998489886; 10.9998489886]
Centroid: CG[1.24438290751; 0.33332829962]
Coordinates of the circumscribed circle: U[1.36658191184; -0.36659701298]
Coordinates of the inscribed circle: I[1.07329701298; 0.44444387798]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150° = 0.52435987756 rad
∠ B' = β' = 135° = 0.78553981634 rad
∠ C' = γ' = 75° = 1.83325957146 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 b 3. By using the law of sines, we calculate last unknown side c 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     