Triangle calculator SAS

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

Acute scalene triangle.

Sides: a = 90   b = 80   c = 72.41444904043

Area: T = 2757.765999523
Perimeter: p = 242.4144490404
Semiperimeter: s = 121.2077245202

Angle ∠ A = α = 72.19897406737° = 72°11'23″ = 1.26599486609 rad
Angle ∠ B = β = 57.81102593263° = 57°48'37″ = 1.00989793667 rad
Angle ∠ C = γ = 50° = 0.8732664626 rad

Height: ha = 61.28435554495
Height: hb = 68.94439998807
Height: hc = 76.16659711981

Median: ma = 61.61992276019
Median: mb = 71.21774782638
Median: mc = 77.06551373506

Inradius: r = 22.75224352247
Circumradius: R = 47.26552018135

Vertex coordinates: A[72.41444904043; 0] B[0; 0] C[47.94552274106; 76.16659711981]
Centroid: CG[40.12199059383; 25.3898657066]
Coordinates of the circumscribed circle: U[36.20772452021; 30.38114860951]
Coordinates of the inscribed circle: I[41.20772452021; 22.75224352247]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 107.8110259326° = 107°48'37″ = 1.26599486609 rad
∠ B' = β' = 122.1989740674° = 122°11'23″ = 1.00989793667 rad
∠ C' = γ' = 130° = 0.8732664626 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     