Triangle calculator SAS

Please enter two sides of the triangle and the included angle
°

Acute scalene triangle.

Sides: a = 40   b = 49   c = 40.52201815056

Area: T = 782.6632799846
Perimeter: p = 129.5220181506
Semiperimeter: s = 64.76600907528

Angle ∠ A = α = 52.03546518095° = 52°2'5″ = 0.90881759992 rad
Angle ∠ B = β = 74.96553481905° = 74°57'55″ = 1.30883921508 rad
Angle ∠ C = γ = 53° = 0.92550245036 rad

Height: ha = 39.13331399923
Height: hb = 31.94554204019
Height: hc = 38.6310764758

Median: ma = 40.26771398863
Median: mb = 31.94882793687
Median: mc = 39.8755164234

Inradius: r = 12.08655729315
Circumradius: R = 25.3688382069

Vertex coordinates: A[40.52201815056; 0] B[0; 0] C[10.37661271297; 38.6310764758]
Centroid: CG[16.96554362118; 12.8776921586]
Coordinates of the circumscribed circle: U[20.26600907528; 15.26770734422]
Coordinates of the inscribed circle: I[15.76600907528; 12.08655729315]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 127.965534819° = 127°57'55″ = 0.90881759992 rad
∠ B' = β' = 105.035465181° = 105°2'5″ = 1.30883921508 rad
∠ C' = γ' = 127° = 0.92550245036 rad

How did we calculate this triangle?

1. Calculation of the third side c of the triangle using a Law of Cosines 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. 2. The triangle circumference is the sum of the lengths of its three sides 3. Semiperimeter of the triangle 4. The triangle area using Heron's formula 5. Calculate the heights of the triangle from its area. 6. Calculation of the inner angles of the triangle using a Law of Cosines     