Triangle calculator ASA

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

Acute scalene triangle.

Sides: a = 129.0599195015   b = 99.3743802605   c = 93

Area: T = 4597.226618162
Perimeter: p = 321.433299762
Semiperimeter: s = 160.716649881

Angle ∠ A = α = 84.2° = 84°12' = 1.47695672302 rad
Angle ∠ B = β = 50° = 0.8732664626 rad
Angle ∠ C = γ = 45.8° = 45°48' = 0.79993607974 rad

Height: ha = 71.24221332101
Height: hb = 92.52439059211
Height: hc = 98.86550791746

Median: ma = 71.44003317052
Median: mb = 100.9155062047
Median: mc = 105.3732976759

Inradius: r = 28.60545690123
Circumradius: R = 64.86216431446

Vertex coordinates: A[93; 0] B[0; 0] C[82.95876514718; 98.86550791746]
Centroid: CG[58.65325504906; 32.95550263915]
Coordinates of the circumscribed circle: U[46.5; 45.21992741142]
Coordinates of the inscribed circle: I[61.3432696205; 28.60545690123]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 95.8° = 95°48' = 1.47695672302 rad
∠ B' = β' = 130° = 0.8732664626 rad
∠ C' = γ' = 134.2° = 134°12' = 0.79993607974 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     