Triangle calculator SAS

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

Acute scalene triangle.

Sides: a = 110   b = 130   c = 80.39221168203

Area: T = 4401.987954858
Perimeter: p = 320.392211682
Semiperimeter: s = 160.196605841

Angle ∠ A = α = 57.39550142762° = 57°23'42″ = 1.00217319733 rad
Angle ∠ B = β = 84.60549857238° = 84°36'18″ = 1.47766355645 rad
Angle ∠ C = γ = 38° = 0.66332251158 rad

Height: ha = 80.03659917923
Height: hb = 67.72327622858
Height: hc = 109.5132716487

Median: ma = 93.04400248464
Median: mb = 71.10986930229
Median: mc = 113.5098928672

Inradius: r = 27.47987007387
Circumradius: R = 65.28992214652

Vertex coordinates: A[80.39221168203; 0] B[0; 0] C[10.34223850038; 109.5132716487]
Centroid: CG[30.24548339414; 36.50442388291]
Coordinates of the circumscribed circle: U[40.19660584101; 51.44986086092]
Coordinates of the inscribed circle: I[30.19660584101; 27.47987007387]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 122.6054985724° = 122°36'18″ = 1.00217319733 rad
∠ B' = β' = 95.39550142762° = 95°23'42″ = 1.47766355645 rad
∠ C' = γ' = 142° = 0.66332251158 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     