Triangle calculator ASA

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

Right scalene triangle.

Sides: a = 19.62766877351   b = 62.17988297691   c = 59

Area: T = 578.9877288186
Perimeter: p = 140.8065517504
Semiperimeter: s = 70.40327587521

Angle ∠ A = α = 18.4° = 18°24' = 0.32111405824 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 71.6° = 71°36' = 1.25496557444 rad

Height: ha = 59
Height: hb = 18.62332931799
Height: hc = 19.62766877351

Median: ma = 59.81105485501
Median: mb = 31.08994148845
Median: mc = 35.43224268355

Inradius: r = 8.2243928983
Circumradius: R = 31.08994148845

Vertex coordinates: A[59; 0] B[0; 0] C[-0; 19.62766877351]
Centroid: CG[19.66766666667; 6.5422229245]
Coordinates of the circumscribed circle: U[29.5; 9.81333438676]
Coordinates of the inscribed circle: I[8.2243928983; 8.2243928983]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 161.6° = 161°36' = 0.32111405824 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 108.4° = 108°24' = 1.25496557444 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     