Triangle calculator ASA

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

Right scalene triangle.

Sides: a = 97.47659088699   b = 315.4398667271   c = 300

Area: T = 14621.38663305
Perimeter: p = 712.9154576141
Semiperimeter: s = 356.4577288071

Angle ∠ A = α = 18° = 0.31441592654 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 72° = 1.25766370614 rad

Height: ha = 300
Height: hb = 92.70550983125
Height: hc = 97.47659088699

Median: ma = 303.9333196941
Median: mb = 157.7199333636
Median: mc = 178.8989778383

Inradius: r = 41.01986207992
Circumradius: R = 157.7199333636

Vertex coordinates: A[300; 0] B[0; 0] C[-0; 97.47659088699]
Centroid: CG[100; 32.49219696233]
Coordinates of the circumscribed circle: U[150; 48.73879544349]
Coordinates of the inscribed circle: I[41.01986207992; 41.01986207992]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162° = 0.31441592654 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 108° = 1.25766370614 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     