Triangle calculator SAS

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

Obtuse scalene triangle.

Sides: a = 41.5   b = 65   c = 46.17880133343

Area: T = 953.7110271125
Perimeter: p = 152.6788013334
Semiperimeter: s = 76.33990066671

Angle ∠ A = α = 39.4555156382° = 39°27'19″ = 0.68986223858 rad
Angle ∠ B = β = 95.5454843618° = 95°32'41″ = 1.66875721044 rad
Angle ∠ C = γ = 45° = 0.78553981634 rad

Height: ha = 45.96219407771
Height: hb = 29.34549314192
Height: hc = 41.30658164379

Median: ma = 52.42327236773
Median: mb = 29.51440552576
Median: mc = 49.40216474536

Inradius: r = 12.49330924931
Circumradius: R = 32.65327863704

Vertex coordinates: A[46.17880133343; 0] B[0; 0] C[-4.01099287276; 41.30658164379]
Centroid: CG[14.05660282022; 13.76986054793]
Coordinates of the circumscribed circle: U[23.08990066671; 23.08990066671]
Coordinates of the inscribed circle: I[11.33990066671; 12.49330924931]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 140.5454843618° = 140°32'41″ = 0.68986223858 rad
∠ B' = β' = 84.4555156382° = 84°27'19″ = 1.66875721044 rad
∠ C' = γ' = 135° = 0.78553981634 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     