Triangle calculator ASA

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

Right scalene triangle.

Sides: a = 59.50109088688   b = 42.14768641326   c = 42

Area: T = 885.0844146784
Perimeter: p = 143.6487773001
Semiperimeter: s = 71.82438865007

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 45.1° = 45°6' = 0.78771434926 rad
Angle ∠ C = γ = 44.9° = 44°54' = 0.78436528341 rad

Height: ha = 29.75502731844
Height: hb = 42
Height: hc = 42.14768641326

Median: ma = 29.75504544344
Median: mb = 46.9990313247
Median: mc = 47.08988326061

Inradius: r = 12.32329776319
Circumradius: R = 29.75504544344

Vertex coordinates: A[42; 0] B[0; 0] C[42; 42.14768641326]
Centroid: CG[28; 14.04989547109]
Coordinates of the circumscribed circle: U[21; 21.07334320663]
Coordinates of the inscribed circle: I[29.67770223681; 12.32329776319]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 134.9° = 134°54' = 0.78771434926 rad
∠ C' = γ' = 135.1° = 135°6' = 0.78436528341 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     