Triangle calculator SAS

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

Obtuse scalene triangle.

Sides: a = 104.55   b = 123.84   c = 177.9077025411

Area: T = 6332.269933618
Perimeter: p = 406.2977025411
Semiperimeter: s = 203.1498512706

Angle ∠ A = α = 35.08773485468° = 35°5'14″ = 0.61223897579 rad
Angle ∠ B = β = 42.91326514532° = 42°54'46″ = 0.74989670586 rad
Angle ∠ C = γ = 102° = 1.7880235837 rad

Height: ha = 121.1343798875
Height: hb = 102.2655331657
Height: hc = 71.18662763322

Median: ma = 144.0876612912
Median: mb = 132.124388011
Median: mc = 72.25550802874

Inradius: r = 31.17106408866
Circumradius: R = 90.94107870948

Vertex coordinates: A[177.9077025411; 0] B[0; 0] C[76.5721643328; 71.18662763322]
Centroid: CG[84.82662229131; 23.72987587774]
Coordinates of the circumscribed circle: U[88.95435127056; -18.90876528092]
Coordinates of the inscribed circle: I[79.30985127056; 31.17106408866]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 144.9132651453° = 144°54'46″ = 0.61223897579 rad
∠ B' = β' = 137.0877348547° = 137°5'14″ = 0.74989670586 rad
∠ C' = γ' = 78° = 1.7880235837 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     