Triangle calculator ASA

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

Right scalene triangle.

Sides: a = 183.062191354   b = 149.9565540708   c = 105

Area: T = 7872.666588717
Perimeter: p = 438.0177454248
Semiperimeter: s = 219.0098727124

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 55° = 0.96599310886 rad
Angle ∠ C = γ = 35° = 0.61108652382 rad

Height: ha = 86.01109646503
Height: hb = 105
Height: hc = 149.9565540708

Median: ma = 91.53109567701
Median: mb = 129.0221959554
Median: mc = 158.8880188158

Inradius: r = 35.94768135839
Circumradius: R = 91.53109567701

Vertex coordinates: A[105; 0] B[0; 0] C[105; 149.9565540708]
Centroid: CG[70; 49.9855180236]
Coordinates of the circumscribed circle: U[52.5; 74.9787770354]
Coordinates of the inscribed circle: I[69.05331864161; 35.94768135839]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 125° = 0.96599310886 rad
∠ C' = γ' = 145° = 0.61108652382 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     