Triangle calculator ASA

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

Acute scalene triangle.

Sides: a = 2597.375515938   b = 2507.07112321   c = 2994

Area: T = 3093016.15995
Perimeter: p = 8098.446639148
Semiperimeter: s = 4049.223319574

Angle ∠ A = α = 55.5° = 55°30' = 0.96986577349 rad
Angle ∠ B = β = 52.7° = 52°42' = 0.92197885158 rad
Angle ∠ C = γ = 71.8° = 71°48' = 1.25331464029 rad

Height: ha = 2381.648760168
Height: hb = 2467.434380873
Height: hc = 2066.143305912

Median: ma = 2436.828819497
Median: mb = 2506.76599244
Median: mc = 2067.577658642

Inradius: r = 763.8544203629
Circumradius: R = 1575.83658339

Vertex coordinates: A[2994; 0] B[0; 0] C[1573.979921772; 2066.143305912]
Centroid: CG[1522.665973924; 688.7144353039]
Coordinates of the circumscribed circle: U[1497; 492.1898556771]
Coordinates of the inscribed circle: I[1542.152196364; 763.8544203629]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 124.5° = 124°30' = 0.96986577349 rad
∠ B' = β' = 127.3° = 127°18' = 0.92197885158 rad
∠ C' = γ' = 108.2° = 108°12' = 1.25331464029 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     