Triangle calculator SAS

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

Obtuse scalene triangle.

Sides: a = 6.8   b = 5.9   c = 9.67548282401

Area: T = 19.81330281123
Perimeter: p = 22.37548282401
Semiperimeter: s = 11.187741412

Angle ∠ A = α = 43.96436248033° = 43°57'49″ = 0.76773100039 rad
Angle ∠ B = β = 37.03663751967° = 37°2'11″ = 0.64664066902 rad
Angle ∠ C = γ = 99° = 1.72878759595 rad

Height: ha = 5.82773612095
Height: hb = 6.7166280716
Height: hc = 4.09657891181

Median: ma = 7.25657667229
Median: mb = 7.8244234834
Median: mc = 4.13881668201

Inradius: r = 1.77110105213
Circumradius: R = 4.89877130955

Vertex coordinates: A[9.67548282401; 0] B[0; 0] C[5.42881222813; 4.09657891181]
Centroid: CG[5.03443168404; 1.36552630394]
Coordinates of the circumscribed circle: U[4.837741412; -0.7666171128]
Coordinates of the inscribed circle: I[5.287741412; 1.77110105213]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 136.0366375197° = 136°2'11″ = 0.76773100039 rad
∠ B' = β' = 142.9643624803° = 142°57'49″ = 0.64664066902 rad
∠ C' = γ' = 81° = 1.72878759595 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     