Triangle calculator ASA

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

Acute scalene triangle.

Sides: a = 138.3299689501   b = 132.153272577   c = 125

Area: T = 7485.699027773
Perimeter: p = 395.4522415272
Semiperimeter: s = 197.7266207636

Angle ∠ A = α = 65° = 1.13444640138 rad
Angle ∠ B = β = 60° = 1.04771975512 rad
Angle ∠ C = γ = 55° = 0.96599310886 rad

Height: ha = 108.2533175473
Height: hb = 113.288847338
Height: hc = 119.7711044444

Median: ma = 108.4577228598
Median: mb = 114.0610581824
Median: mc = 119.9565506428

Inradius: r = 37.85988674068
Circumradius: R = 76.29884117976

Vertex coordinates: A[125; 0] B[0; 0] C[69.15498447507; 119.7711044444]
Centroid: CG[64.71766149169; 39.92436814812]
Coordinates of the circumscribed circle: U[62.5; 43.76329711381]
Coordinates of the inscribed circle: I[65.57334818656; 37.85988674068]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 115° = 1.13444640138 rad
∠ B' = β' = 120° = 1.04771975512 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     