Triangle calculator SAS

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

Obtuse scalene triangle.

Sides: a = 1.8   b = 5.1   c = 6.01106386562

Area: T = 4.25657738925
Perimeter: p = 12.91106386562
Semiperimeter: s = 6.45553193281

Angle ∠ A = α = 16.12107644889° = 16°7'15″ = 0.28113604183 rad
Angle ∠ B = β = 51.87992355111° = 51°52'45″ = 0.90554634731 rad
Angle ∠ C = γ = 112° = 1.95547687622 rad

Height: ha = 4.72986376583
Height: hb = 1.66989309382
Height: hc = 1.4166080432

Median: ma = 5.50108079886
Median: mb = 3.63106182018
Median: mc = 2.36549642146

Inradius: r = 0.65992662076
Circumradius: R = 3.24113413082

Vertex coordinates: A[6.01106386562; 0] B[0; 0] C[1.11111778481; 1.4166080432]
Centroid: CG[2.37439388348; 0.47220268107]
Coordinates of the circumscribed circle: U[3.00553193281; -1.21442278256]
Coordinates of the inscribed circle: I[1.35553193281; 0.65992662076]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 163.8799235511° = 163°52'45″ = 0.28113604183 rad
∠ B' = β' = 128.1210764489° = 128°7'15″ = 0.90554634731 rad
∠ C' = γ' = 68° = 1.95547687622 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     