Triangle calculator ASA

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

Right scalene triangle.

Sides: a = 69.28220323028   b = 34.64110161514   c = 60

Area: T = 1039.233048454
Perimeter: p = 163.9233048454
Semiperimeter: s = 81.96215242271

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 30° = 0.52435987756 rad
Angle ∠ C = γ = 60° = 1.04771975512 rad

Height: ha = 30
Height: hb = 60
Height: hc = 34.64110161514

Median: ma = 34.64110161514
Median: mb = 62.4549979984
Median: mc = 45.82657569496

Inradius: r = 12.67994919243
Circumradius: R = 34.64110161514

Vertex coordinates: A[60; 0] B[0; 0] C[60; 34.64110161514]
Centroid: CG[40; 11.54770053838]
Coordinates of the circumscribed circle: U[30; 17.32105080757]
Coordinates of the inscribed circle: I[47.32105080757; 12.67994919243]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 150° = 0.52435987756 rad
∠ C' = γ' = 120° = 1.04771975512 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     