Triangle calculator ASA

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

Obtuse scalene triangle.

Sides: a = 87.47552959688   b = 48.4888348334   c = 53

Area: T = 1123.835492302
Perimeter: p = 188.9643644303
Semiperimeter: s = 94.48218221514

Angle ∠ A = α = 119° = 2.07769418099 rad
Angle ∠ B = β = 29° = 0.50661454831 rad
Angle ∠ C = γ = 32° = 0.55985053606 rad

Height: ha = 25.69549098731
Height: hb = 46.35548444784
Height: hc = 42.40988650196

Median: ma = 25.82878553286
Median: mb = 68.13772418093
Median: mc = 65.56988467529

Inradius: r = 11.89547210948
Circumradius: R = 50.00876177422

Vertex coordinates: A[53; 0] B[0; 0] C[76.50876177422; 42.40988650196]
Centroid: CG[43.16992059141; 14.13662883399]
Coordinates of the circumscribed circle: U[26.5; 42.40988650196]
Coordinates of the inscribed circle: I[45.99334738174; 11.89547210948]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 61° = 2.07769418099 rad
∠ B' = β' = 151° = 0.50661454831 rad
∠ C' = γ' = 148° = 0.55985053606 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     