Triangle calculator ASA

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

Right scalene triangle.

Sides: a = 420.1254522926   b = 732.4654753257   c = 600

Area: T = 126037.3576878
Perimeter: p = 1752.589927618
Semiperimeter: s = 876.2954638091

Angle ∠ A = α = 35° = 0.61108652382 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 55° = 0.96599310886 rad

Height: ha = 600
Height: hb = 344.1465861811
Height: hc = 420.1254522926

Median: ma = 635.7099173829
Median: mb = 366.2322376628
Median: mc = 516.2410849569

Inradius: r = 143.8329884835
Circumradius: R = 366.2322376628

Vertex coordinates: A[600; 0] B[0; 0] C[-0; 420.1254522926]
Centroid: CG[200; 140.0421507642]
Coordinates of the circumscribed circle: U[300; 210.0622261463]
Coordinates of the inscribed circle: I[143.8329884835; 143.8329884835]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145° = 0.61108652382 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 125° = 0.96599310886 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     